What is the Greatest Common Factor of 57665 and 57684?

Greatest common factor (GCF) of 57665 and 57684 is 19.

GCF(57665,57684) = 19

We will now calculate the prime factors of 57665 and 57684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57665 and 57684.

How to find the GCF of 57665 and 57684?

We will first find the prime factorization of 57665 and 57684. After we will calculate the factors of 57665 and 57684 and find the biggest common factor number .

Step-1: Prime Factorization of 57665

Prime factors of 57665 are 5, 19, 607. Prime factorization of 57665 in exponential form is:

57665 = 5¹ × 19¹ × 607¹

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 57665

List of positive integer factors of 57665 that divides 57665 without a remainder.

1, 5, 19, 95, 607, 3035, 11533

Step-4: Factors of 57684

List of positive integer factors of 57684 that divides 57665 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 57665 and 57684. The biggest common factor number is the GCF number.
So the greatest common factor 57665 and 57684 is 19.

Also check out the Least Common Multiple of 57665 and 57684