What is the Greatest Common Factor of 57564 and 57584?

Greatest common factor (GCF) of 57564 and 57584 is 4.

GCF(57564,57584) = 4

We will now calculate the prime factors of 57564 and 57584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57564 and 57584.

How to find the GCF of 57564 and 57584?

We will first find the prime factorization of 57564 and 57584. After we will calculate the factors of 57564 and 57584 and find the biggest common factor number .

Step-1: Prime Factorization of 57564

Prime factors of 57564 are 2, 3, 13, 41. Prime factorization of 57564 in exponential form is:

57564 = 2² × 3³ × 13¹ × 41¹

Step-2: Prime Factorization of 57584

Prime factors of 57584 are 2, 59, 61. Prime factorization of 57584 in exponential form is:

57584 = 2⁴ × 59¹ × 61¹

Step-3: Factors of 57564

List of positive integer factors of 57564 that divides 57564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 41, 52, 54, 78, 82, 108, 117, 123, 156, 164, 234, 246, 351, 369, 468, 492, 533, 702, 738, 1066, 1107, 1404, 1476, 1599, 2132, 2214, 3198, 4428, 4797, 6396, 9594, 14391, 19188, 28782

Step-4: Factors of 57584

List of positive integer factors of 57584 that divides 57564 without a remainder.

1, 2, 4, 8, 16, 59, 61, 118, 122, 236, 244, 472, 488, 944, 976, 3599, 7198, 14396, 28792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57564 and 57584. The biggest common factor number is the GCF number.
So the greatest common factor 57564 and 57584 is 4.

Also check out the Least Common Multiple of 57564 and 57584