What is the Greatest Common Factor of 42588 and 42596?

Greatest common factor (GCF) of 42588 and 42596 is 4.

GCF(42588,42596) = 4

We will now calculate the prime factors of 42588 and 42596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42588 and 42596.

How to find the GCF of 42588 and 42596?

We will first find the prime factorization of 42588 and 42596. After we will calculate the factors of 42588 and 42596 and find the biggest common factor number .

Step-1: Prime Factorization of 42588

Prime factors of 42588 are 2, 3, 7, 13. Prime factorization of 42588 in exponential form is:

42588 = 2² × 3² × 7¹ × 13²

Step-2: Prime Factorization of 42596

Prime factors of 42596 are 2, 23, 463. Prime factorization of 42596 in exponential form is:

42596 = 2² × 23¹ × 463¹

Step-3: Factors of 42588

List of positive integer factors of 42588 that divides 42588 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 169, 182, 234, 252, 273, 338, 364, 468, 507, 546, 676, 819, 1014, 1092, 1183, 1521, 1638, 2028, 2366, 3042, 3276, 3549, 4732, 6084, 7098, 10647, 14196, 21294

Step-4: Factors of 42596

List of positive integer factors of 42596 that divides 42588 without a remainder.

1, 2, 4, 23, 46, 92, 463, 926, 1852, 10649, 21298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42588 and 42596. The biggest common factor number is the GCF number.
So the greatest common factor 42588 and 42596 is 4.

Also check out the Least Common Multiple of 42588 and 42596