Solutions by » GCF of two numbers

What is the GCF of 9721 and 1501?

The GCF of 9721 and 1501 is 1.

Steps to find GCF

  1. Find the prime factorization of 9721
    9721 = 9721
  2. Find the prime factorization of 1501
    1501 = 19 × 79
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Note that there are no common prime factors.
  4. Therefore, GCF = 1 (since 1 is a factor of every number)

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