Solutions by » GCF of two numbers

What is the GCF of 502 and 196?

The GCF of 502 and 196 is 2.

Steps to find GCF

  1. Find the prime factorization of 502
    502 = 2 × 251
  2. Find the prime factorization of 196
    196 = 2 × 2 × 7 × 7
  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).