What is the Greatest Common Factor of 57672 and 57684?

Greatest common factor (GCF) of 57672 and 57684 is 12.

GCF(57672,57684) = 12

We will now calculate the prime factors of 57672 and 57684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57672 and 57684.

How to find the GCF of 57672 and 57684?

We will first find the prime factorization of 57672 and 57684. After we will calculate the factors of 57672 and 57684 and find the biggest common factor number .

Step-1: Prime Factorization of 57672

Prime factors of 57672 are 2, 3, 89. Prime factorization of 57672 in exponential form is:

57672 = 2³ × 3⁴ × 89¹

Step-2: Prime Factorization of 57684

Prime factors of 57684 are 2, 3, 11, 19, 23. Prime factorization of 57684 in exponential form is:

57684 = 2² × 3¹ × 11¹ × 19¹ × 23¹

Step-3: Factors of 57672

List of positive integer factors of 57672 that divides 57672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 89, 108, 162, 178, 216, 267, 324, 356, 534, 648, 712, 801, 1068, 1602, 2136, 2403, 3204, 4806, 6408, 7209, 9612, 14418, 19224, 28836

Step-4: Factors of 57684

List of positive integer factors of 57684 that divides 57672 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 23, 33, 38, 44, 46, 57, 66, 69, 76, 92, 114, 132, 138, 209, 228, 253, 276, 418, 437, 506, 627, 759, 836, 874, 1012, 1254, 1311, 1518, 1748, 2508, 2622, 3036, 4807, 5244, 9614, 14421, 19228, 28842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57672 and 57684. The biggest common factor number is the GCF number.
So the greatest common factor 57672 and 57684 is 12.

Also check out the Least Common Multiple of 57672 and 57684