What is the Greatest Common Factor of 57596 and 57613?

Greatest common factor (GCF) of 57596 and 57613 is 17.

GCF(57596,57613) = 17

We will now calculate the prime factors of 57596 and 57613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57596 and 57613.

How to find the GCF of 57596 and 57613?

We will first find the prime factorization of 57596 and 57613. After we will calculate the factors of 57596 and 57613 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 57613

Prime factors of 57613 are 17, 3389. Prime factorization of 57613 in exponential form is:

57613 = 17¹ × 3389¹

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 57613

List of positive integer factors of 57613 that divides 57596 without a remainder.

1, 17, 3389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57596 and 57613. The biggest common factor number is the GCF number.
So the greatest common factor 57596 and 57613 is 17.

Also check out the Least Common Multiple of 57596 and 57613