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What is the GCF of 52 and 1575?

The GCF of 52 and 1575 is 1.

Steps to find GCF

  1. Find the prime factorization of 52
    52 = 2 × 2 × 13
  2. Find the prime factorization of 1575
    1575 = 3 × 3 × 5 × 5 × 7
  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).

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