What is the Greatest Common Factor of 57564 and 57575?

Greatest common factor (GCF) of 57564 and 57575 is 1.

GCF(57564,57575) = 1

We will now calculate the prime factors of 57564 and 57575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57564 and 57575.

How to find the GCF of 57564 and 57575?

We will first find the prime factorization of 57564 and 57575. After we will calculate the factors of 57564 and 57575 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 57575

Prime factors of 57575 are 5, 7, 47. Prime factorization of 57575 in exponential form is:

57575 = 5² × 7² × 47¹

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 57575

List of positive integer factors of 57575 that divides 57564 without a remainder.

1, 5, 7, 25, 35, 47, 49, 175, 235, 245, 329, 1175, 1225, 1645, 2303, 8225, 11515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57564 and 57575. The biggest common factor number is the GCF number.
So the greatest common factor 57564 and 57575 is 1.

Also check out the Least Common Multiple of 57564 and 57575