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What is the GCF of 134 and 105?

The GCF of 134 and 105 is 1.

Steps to find GCF

  1. Find the prime factorization of 134
    134 = 2 × 67
  2. Find the prime factorization of 105
    105 = 3 × 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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