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What is the GCF of 462 and 2653?

The GCF of 462 and 2653 is 7.

Steps to find GCF

  1. Find the prime factorization of 462
    462 = 2 × 3 × 7 × 11
  2. Find the prime factorization of 2653
    2653 = 7 × 379
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 7

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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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