Finding the Greatest Common Factor of 2 and 10 Explained

Learn how to find the greatest common factor (GCF) of 2 and 10 easily.

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The greatest common factor of 2 and 10 is 2. This is because 2 is the highest number that divides both 2 and 10 without leaving a remainder. Knowing this helps simplify fractions and solve mathematical problems more efficiently.

FAQs & Answers

  1. What is the greatest common factor? The greatest common factor (GCF) is the largest positive integer that divides each of the given integers without leaving a remainder.
  2. How do you find the greatest common factor of two numbers? To find the greatest common factor, list the factors of each number and identify the highest number that appears in both lists. Alternatively, you can use prime factorization.
  3. Why is finding the greatest common factor important? Finding the greatest common factor is important for simplifying fractions, finding common denominators, and solving various mathematical problems more efficiently.
  4. Can the GCF be used for more than two numbers? Yes, the GCF can be calculated for more than two numbers. The process involves finding the common factors among all the numbers and selecting the largest one.