Solutions by » GCF of two numbers

What is the GCF of 8097 and 9452?

The GCF of 8097 and 9452 is 1.

Steps to find GCF

  1. Find the prime factorization of 8097
    8097 = 3 × 2699
  2. Find the prime factorization of 9452
    9452 = 2 × 2 × 17 × 139
  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).