Greatest Common Factor of 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40 by Prime Factorization

Given Numbers: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Identify the Prime Factors of 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40 by Prime Factorization
  • Prime Factorization of 4: 4 = 2 x 2 = 22
  • Prime Factorization of 8: 8 = 2 x 2 x 2 = 23
  • Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
  • Prime Factorization of 16: 16 = 2 x 2 x 2 x 2 = 24
  • Prime Factorization of 20: 20 = 2 x 2 x 5 = 22 x 51
  • Prime Factorization of 24: 24 = 2 x 2 x 2 x 3 = 23 x 31
  • Prime Factorization of 28: 28 = 2 x 2 x 7 = 22 x 71
  • Prime Factorization of 32: 32 = 2 x 2 x 2 x 2 x 2 = 25
  • Prime Factorization of 36: 36 = 2 x 2 x 3 x 3 = 22 x 32
  • Prime Factorization of 40: 40 = 2 x 2 x 2 x 5 = 23 x 51

Determine the Prime Factor(s) that are common to the Prime Factorization of each number:

  • 2 is the only Prime Factor common to the Prime Factorizations of 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40

Determine the least number of occurrences of 2 among the Prime Factorizations:

  • 2 occurs at least 2 times in each Prime Factorization

As a result, the Greatest Common Factor (GCF) of 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40 is equal to 2 x 2, which equals 2 raised to the power of its least number of occurrences or smallest exponent among the Prime Factorizations:

  • GCF(4, 8, 12, 16, 20, 24, 28, 32, 36, 40) = 22 = 2 x 2
  • GCF(4, 8, 12, 16, 20, 24, 28, 32, 36, 40) = 4

Therefore, the Greatest Common Factor of 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40 by Prime Factorization = 4

The solution above and other related solutions were provided by the GCF by Prime Factorization Application.

Find the Greatest Common Factor by Prime Factorization

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