What is the GCF of 10 and 12?

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 10 and 12, which involves identifying the largest factor that both numbers share.

Answer

2
Answer for screen readers

The greatest common factor of 10 and 12 is 2

Steps to Solve

  1. Find the factors of each number

List out the factors of 10 and 12.

  • Factors of 10: 1, 2, 5, 10
  • Factors of 12: 1, 2, 3, 4, 6, 12
  1. Identify the common factors

Find the common factors between the two lists.

  • Common factors of 10 and 12: 1, 2
  1. Select the greatest common factor

From the common factors, select the largest one.

  • The greatest common factor of 10 and 12 is 2.

The greatest common factor of 10 and 12 is 2

More Information

The greatest common factor (GCF) is useful in simplifying fractions or finding common denominators.

Tips

A common mistake is to miss one or more factors, so it helps to list out all factors of each number carefully.

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