What is the Greatest Common Factor of 42588 and 42601?

Greatest common factor (GCF) of 42588 and 42601 is 13.

GCF(42588,42601) = 13

We will now calculate the prime factors of 42588 and 42601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42588 and 42601.

How to find the GCF of 42588 and 42601?

We will first find the prime factorization of 42588 and 42601. After we will calculate the factors of 42588 and 42601 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 42601

Prime factors of 42601 are 13, 29, 113. Prime factorization of 42601 in exponential form is:

42601 = 13¹ × 29¹ × 113¹

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 42601

List of positive integer factors of 42601 that divides 42588 without a remainder.

1, 13, 29, 113, 377, 1469, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42588 and 42601. The biggest common factor number is the GCF number.
So the greatest common factor 42588 and 42601 is 13.

Also check out the Least Common Multiple of 42588 and 42601