Solutions by » GCF of two numbers

What is the GCF of 10 and 36?

The GCF of 10 and 36 is 2.

Steps to find GCF

  1. Find the prime factorization of 10
    10 = 2 × 5
  2. Find the prime factorization of 36
    36 = 2 × 2 × 3 × 3
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2

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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).