What is the Greatest Common Factor of 57676 and 57684?

Greatest common factor (GCF) of 57676 and 57684 is 4.

GCF(57676,57684) = 4

We will now calculate the prime factors of 57676 and 57684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57676 and 57684.

How to find the GCF of 57676 and 57684?

We will first find the prime factorization of 57676 and 57684. After we will calculate the factors of 57676 and 57684 and find the biggest common factor number .

Step-1: Prime Factorization of 57676

Prime factors of 57676 are 2, 14419. Prime factorization of 57676 in exponential form is:

57676 = 2² × 14419¹

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 57676

List of positive integer factors of 57676 that divides 57676 without a remainder.

1, 2, 4, 14419, 28838

Step-4: Factors of 57684

List of positive integer factors of 57684 that divides 57676 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 57676 and 57684. The biggest common factor number is the GCF number.
So the greatest common factor 57676 and 57684 is 4.

Also check out the Least Common Multiple of 57676 and 57684