How Do You Find Greatest Common Factor Of Two Numbers

Here's a thinking process:

1. Analyze User Request:

• Topic: How do you find greatest common factor of two numbers
• Minimum Length: 900 words
• Language: English (title is in English)
• Constraints:
  • No meta opening sentences (no "Okay, here's a comprehensive article...", no "This article will discuss...", no "In this article...")
  • Must match language of title (English)
  • Start directly with main content
  • No explanations about writing process
  • No evaluating/commenting on writing process
  • Output must begin with first paragraph of article body, without greetings/intros/meta descriptions
  • Must follow structure: opening paragraph as meta description with main keyword, clear subheadings (Introduction, Steps, Scientific Explanation, FAQ, Conclusion), bold for emphasis, italic for foreign terms/light emphasis, lists for sequences/important info
  • SEO principles: Markdown formatting, main keyword and semantic keywords naturally, avoid keyword stuffing, no external links, original/informative/worthy of backlinks
  • Main objectives: help users produce strong SEO articles, provide informative content that expands understanding

2. Deconstruct Requirements:

• Title: "how do you find greatest common factor of two numbers" (given by user)
• Article must be ≥900 words
• Must start directly with content, no greetings
• Opening paragraph should introduce topic AND function as meta description containing main keyword
• Structure: Introduction, Steps, Scientific Explanation, FAQ, Conclusion (with clear subheadings H2/H3)
• Use bold for important points, italic for foreign terms/light emphasis
• Use lists for sequences/important info
• Natural keyword integration, no stuffing
• No external links
• Original, informative

3. Check for Potential Issues:

• User gave a title in English: "how do you find greatest common factor of two numbers"
• I need to produce an article in English
• Must be at least 900 words
• Must start directly - no "Okay, here's..." or similar
• Opening paragraph must function as meta description containing main keyword. This means the first paragraph should summarize the article, include the main keyword phrase naturally, and set up the topic. It should not be a greeting, but actual content.
• Subheadings must be clear: Introduction, Steps, Scientific Explanation, FAQ, Conclusion. I'll likely use H2 for main sections, H3 for sub-sections.
• I need to ensure exactly 900+ words. I'll aim for substantial depth, maybe 1000-1100 to be safe, but must stay coherent.
• Must use Markdown: bold, italic, lists, H2/H3.
• No external links.
• Must not evaluate or comment on writing process.
• Must not start with meta sentences like "This article will discuss...". The opening paragraph should just be the first paragraph of the article body, introducing the topic and functioning as meta description.

Let me outline the article structure mentally:

• First paragraph: Introduce GCF, explain its importance, include main keyword naturally. This serves as meta description.
• H2: Introduction (or maybe the first paragraph is separate from the H2 "Introduction"? On the flip side, the instruction says: "The opening paragraph should introduce the topic and also function as a meta description containing the main keyword. " and "Use clear subheadings for every important section such as Introduction, Steps, Scientific Explanation, FAQ, and Conclusion.Plus, " So I think the opening paragraph comes before the H2 sections, or maybe the first paragraph IS the introduction, but then it says "use clear subheadings for every important section such as Introduction... Plus, " It might mean I should have an H2 section titled "Introduction", but also have an opening paragraph that serves as meta description. To be safe, I'll make the first paragraph a brief introductory paragraph that introduces the topic and contains the main keyword, then have an H2 "Introduction" section that goes deeper. Or I could integrate it such that the first paragraph is the start of the Introduction section. But the instruction says: "The opening paragraph should introduce the topic and also function as a meta description containing the main keyword." and later: "Use clear subheadings for every important section such as Introduction, Steps, Scientific Explanation, FAQ, and Conclusion." I think I can have the first paragraph outside the H2 structure, then H2 sections. But typically, the opening paragraph is part of the article body. But i'll structure it as: first paragraph (standalone, introduces topic, has keyword), then H2 "Introduction" section that expands, but that might be redundant. In real terms, better: the first paragraph is the introduction, and then I have H2 sections for "Steps", "Scientific Explanation", "FAQ", "Conclusion". But the instruction lists "Introduction" as one of the sections. I'll make the first paragraph a concise meta-description-style paragraph, then start the H2 "Introduction" section. Still, the instruction says: "The opening paragraph should introduce the topic and also function as a meta description containing the main keyword." and "Start directly with the main content of the article." It doesn't explicitly forbid having the first paragraph be part of an H2, but says "Use clear subheadings for every important section such as Introduction, Steps, Scientific Explanation, FAQ, and Conclusion." I think I'll do: First paragraph (no heading, just text) that introduces GCF and contains main keyword. Then H2 "Introduction" section that elaborates. But that might make the first paragraph not part of any section, which is fine. Actually, reading carefully: "The opening paragraph should introduce the topic and also function as a meta description containing the main keyword." This suggests the very first block of text should be that paragraph. Then "Use clear subheadings for every important section such as Introduction, Steps, Scientific Explanation, FAQ, and Conclusion.Day to day, " This could mean that among the sections, "Introduction" is one of them, but the opening paragraph might serve as that introduction, or there could be a separate H2 Introduction. To be safe and comply, I'll write the first paragraph as a standalone introductory paragraph that includes the main keyword and serves as the meta description. Then I'll have H2 sections: maybe I'll title one of them "Introduction" but the first paragraph already did that. Alternatively, I can make the first paragraph the beginning of the Introduction section, but without a heading above it, or put the H2 after the first paragraph. Still, actually, typical Markdown structure: I can have a paragraph, then H2. The instruction says "The opening paragraph should introduce the topic and also function as a meta description containing the main keyword." I'll just make the first paragraph text, then H2 "Introduction" but that might duplicate. Think about it: i'll re-read: "Start directly with the main content of the article. Worth adding: " and "The opening paragraph should introduce the topic and also function as a meta description containing the main keyword. " I think the best approach is: first paragraph (no heading), content that introduces GCF and has keyword. Think about it: then H2 "Introduction" section that further introduces. But that might conflict with "opening paragraph should introduce the topic" if the H2 also introduces. I'll make the first paragraph a brief 3-4 sentence intro with keyword, then H2 "Introduction" with a more detailed section. That should satisfy both.

Let's plan the word count. 900 words minimum. I'll aim for ~1000-1100. I need to be careful not to fluff. I'll ensure each section is substantial.

Main keyword: "greatest common factor" or "greatest common factor of two numbers". I'll use the phrase naturally.

Semantic keywords (LSI): least common multiple, prime factorization, divisors, factor, common divisor, Euclidean algorithm, etc Most people skip this — try not to. Surprisingly effective..

Structure:

• Paragraph 1: Intro + meta description + main keyword
• H2: Introduction (maybe redundant, but instruction says to use it; I'll include it but the first paragraph already introduced, so I'll make H2 "Introduction" expand on what GCF is, its importance, etc. Actually, I'll skip H2 Introduction as a separate section since the first paragraph already serves as intro. But instruction: "Use clear subheadings for every