What is the Greatest Common Factor of 74568 and 74581?

Greatest common factor (GCF) of 74568 and 74581 is 13.

GCF(74568,74581) = 13

We will now calculate the prime factors of 74568 and 74581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74568 and 74581.

How to find the GCF of 74568 and 74581?

We will first find the prime factorization of 74568 and 74581. After we will calculate the factors of 74568 and 74581 and find the biggest common factor number .

Step-1: Prime Factorization of 74568

Prime factors of 74568 are 2, 3, 13, 239. Prime factorization of 74568 in exponential form is:

74568 = 2³ × 3¹ × 13¹ × 239¹

Step-2: Prime Factorization of 74581

Prime factors of 74581 are 13, 5737. Prime factorization of 74581 in exponential form is:

74581 = 13¹ × 5737¹

Step-3: Factors of 74568

List of positive integer factors of 74568 that divides 74568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 239, 312, 478, 717, 956, 1434, 1912, 2868, 3107, 5736, 6214, 9321, 12428, 18642, 24856, 37284

Step-4: Factors of 74581

List of positive integer factors of 74581 that divides 74568 without a remainder.

1, 13, 5737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74568 and 74581. The biggest common factor number is the GCF number.
So the greatest common factor 74568 and 74581 is 13.

Also check out the Least Common Multiple of 74568 and 74581