What is the Greatest Common Factor of 74601 and 74613?

Greatest common factor (GCF) of 74601 and 74613 is 3.

GCF(74601,74613) = 3

We will now calculate the prime factors of 74601 and 74613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74601 and 74613.

How to find the GCF of 74601 and 74613?

We will first find the prime factorization of 74601 and 74613. After we will calculate the factors of 74601 and 74613 and find the biggest common factor number .

Step-1: Prime Factorization of 74601

Prime factors of 74601 are 3, 307. Prime factorization of 74601 in exponential form is:

74601 = 3⁵ × 307¹

Step-2: Prime Factorization of 74613

Prime factors of 74613 are 3, 7, 11, 17, 19. Prime factorization of 74613 in exponential form is:

74613 = 3¹ × 7¹ × 11¹ × 17¹ × 19¹

Step-3: Factors of 74601

List of positive integer factors of 74601 that divides 74601 without a remainder.

1, 3, 9, 27, 81, 243, 307, 921, 2763, 8289, 24867

Step-4: Factors of 74613

List of positive integer factors of 74613 that divides 74601 without a remainder.

1, 3, 7, 11, 17, 19, 21, 33, 51, 57, 77, 119, 133, 187, 209, 231, 323, 357, 399, 561, 627, 969, 1309, 1463, 2261, 3553, 3927, 4389, 6783, 10659, 24871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74601 and 74613. The biggest common factor number is the GCF number.
So the greatest common factor 74601 and 74613 is 3.

Also check out the Least Common Multiple of 74601 and 74613