What is the Greatest Common Factor of 42575 and 42588?

Greatest common factor (GCF) of 42575 and 42588 is 13.

GCF(42575,42588) = 13

We will now calculate the prime factors of 42575 and 42588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42575 and 42588.

How to find the GCF of 42575 and 42588?

We will first find the prime factorization of 42575 and 42588. After we will calculate the factors of 42575 and 42588 and find the biggest common factor number .

Step-1: Prime Factorization of 42575

Prime factors of 42575 are 5, 13, 131. Prime factorization of 42575 in exponential form is:

42575 = 5² × 13¹ × 131¹

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 42575

List of positive integer factors of 42575 that divides 42575 without a remainder.

1, 5, 13, 25, 65, 131, 325, 655, 1703, 3275, 8515

Step-4: Factors of 42588

List of positive integer factors of 42588 that divides 42575 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 42575 and 42588. The biggest common factor number is the GCF number.
So the greatest common factor 42575 and 42588 is 13.

Also check out the Least Common Multiple of 42575 and 42588