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What is the GCF of 3072 and 9216?

The GCF of 3072 and 9216 is 3072.

Steps to find GCF

  1. Find the prime factorization of 3072
    3072 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
  2. Find the prime factorization of 9216
    9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
  4. GCF = 3072

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

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