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What is the GCF of 105 and 120?

The gcf of 105 and 120 is 15.

Steps to find GCF

  1. Find the prime factorization of 105
    105 = 3 × 5 × 7
  2. Find the prime factorization of 120
    120 = 2 × 2 × 2 × 3 × 5
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3 × 5
  4. GCF = 15

The greatest common factor (gcf) is also known as greatest common divisor (gcd) or highest common factor (hcf).

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