What is the Greatest Common Factor of 42574 and 42588?

Greatest common factor (GCF) of 42574 and 42588 is 14.

GCF(42574,42588) = 14

We will now calculate the prime factors of 42574 and 42588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42574 and 42588.

How to find the GCF of 42574 and 42588?

We will first find the prime factorization of 42574 and 42588. After we will calculate the factors of 42574 and 42588 and find the biggest common factor number .

Step-1: Prime Factorization of 42574

Prime factors of 42574 are 2, 7, 3041. Prime factorization of 42574 in exponential form is:

42574 = 2¹ × 7¹ × 3041¹

Step-2: 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-3: Factors of 42574

List of positive integer factors of 42574 that divides 42574 without a remainder.

1, 2, 7, 14, 3041, 6082, 21287

Step-4: Factors of 42588

List of positive integer factors of 42588 that divides 42574 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42574 and 42588. The biggest common factor number is the GCF number.
So the greatest common factor 42574 and 42588 is 14.

Also check out the Least Common Multiple of 42574 and 42588