What is the Greatest Common Factor of 42588 and 42593?

Greatest common factor (GCF) of 42588 and 42593 is 1.

GCF(42588,42593) = 1

We will now calculate the prime factors of 42588 and 42593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42588 and 42593.

How to find the GCF of 42588 and 42593?

We will first find the prime factorization of 42588 and 42593. After we will calculate the factors of 42588 and 42593 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 42593

Prime factors of 42593 are 191, 223. Prime factorization of 42593 in exponential form is:

42593 = 191¹ × 223¹

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 42593

List of positive integer factors of 42593 that divides 42588 without a remainder.

1, 191, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42588 and 42593. The biggest common factor number is the GCF number.
So the greatest common factor 42588 and 42593 is 1.

Also check out the Least Common Multiple of 42588 and 42593