What is the Greatest Common Factor of 57582 and 57596?

Greatest common factor (GCF) of 57582 and 57596 is 14.

GCF(57582,57596) = 14

We will now calculate the prime factors of 57582 and 57596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57582 and 57596.

How to find the GCF of 57582 and 57596?

We will first find the prime factorization of 57582 and 57596. After we will calculate the factors of 57582 and 57596 and find the biggest common factor number .

Step-1: Prime Factorization of 57582

Prime factors of 57582 are 2, 3, 7, 457. Prime factorization of 57582 in exponential form is:

57582 = 2¹ × 3² × 7¹ × 457¹

Step-2: 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-3: Factors of 57582

List of positive integer factors of 57582 that divides 57582 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 457, 914, 1371, 2742, 3199, 4113, 6398, 8226, 9597, 19194, 28791

Step-4: Factors of 57596

List of positive integer factors of 57596 that divides 57582 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57582 and 57596. The biggest common factor number is the GCF number.
So the greatest common factor 57582 and 57596 is 14.

Also check out the Least Common Multiple of 57582 and 57596