What is the Greatest Common Factor of 57596 and 57607?

Greatest common factor (GCF) of 57596 and 57607 is 11.

GCF(57596,57607) = 11

We will now calculate the prime factors of 57596 and 57607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57596 and 57607.

How to find the GCF of 57596 and 57607?

We will first find the prime factorization of 57596 and 57607. After we will calculate the factors of 57596 and 57607 and find the biggest common factor number .

Step-1: Prime Factorization of 57596

Prime factors of 57596 are 2, 7, 11, 17. Prime factorization of 57596 in exponential form is:

57596 = 2² × 7¹ × 11² × 17¹

Step-2: Prime Factorization of 57607

Prime factors of 57607 are 11, 5237. Prime factorization of 57607 in exponential form is:

57607 = 11¹ × 5237¹

Step-3: Factors of 57596

List of positive integer factors of 57596 that divides 57596 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 121, 154, 187, 238, 242, 308, 374, 476, 484, 748, 847, 1309, 1694, 2057, 2618, 3388, 4114, 5236, 8228, 14399, 28798

Step-4: Factors of 57607

List of positive integer factors of 57607 that divides 57596 without a remainder.

1, 11, 5237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57596 and 57607. The biggest common factor number is the GCF number.
So the greatest common factor 57596 and 57607 is 11.

Also check out the Least Common Multiple of 57596 and 57607