What is the Greatest Common Factor of 57512 and 57520?

Greatest common factor (GCF) of 57512 and 57520 is 8.

GCF(57512,57520) = 8

We will now calculate the prime factors of 57512 and 57520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57512 and 57520.

How to find the GCF of 57512 and 57520?

We will first find the prime factorization of 57512 and 57520. After we will calculate the factors of 57512 and 57520 and find the biggest common factor number .

Step-1: Prime Factorization of 57512

Prime factors of 57512 are 2, 7, 13, 79. Prime factorization of 57512 in exponential form is:

57512 = 2³ × 7¹ × 13¹ × 79¹

Step-2: Prime Factorization of 57520

Prime factors of 57520 are 2, 5, 719. Prime factorization of 57520 in exponential form is:

57520 = 2⁴ × 5¹ × 719¹

Step-3: Factors of 57512

List of positive integer factors of 57512 that divides 57512 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 79, 91, 104, 158, 182, 316, 364, 553, 632, 728, 1027, 1106, 2054, 2212, 4108, 4424, 7189, 8216, 14378, 28756

Step-4: Factors of 57520

List of positive integer factors of 57520 that divides 57512 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 719, 1438, 2876, 3595, 5752, 7190, 11504, 14380, 28760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57512 and 57520. The biggest common factor number is the GCF number.
So the greatest common factor 57512 and 57520 is 8.

Also check out the Least Common Multiple of 57512 and 57520