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What is the GCF of 5000 and 8638?

The GCF of 5000 and 8638 is 2.

Steps to find GCF

  1. Find the prime factorization of 5000
    5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5
  2. Find the prime factorization of 8638
    8638 = 2 × 7 × 617
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2

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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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