What is the Greatest Common Factor of 74589 and 74601?

Greatest common factor (GCF) of 74589 and 74601 is 3.

GCF(74589,74601) = 3

We will now calculate the prime factors of 74589 and 74601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74589 and 74601.

How to find the GCF of 74589 and 74601?

We will first find the prime factorization of 74589 and 74601. After we will calculate the factors of 74589 and 74601 and find the biggest common factor number .

Step-1: Prime Factorization of 74589

Prime factors of 74589 are 3, 23, 47. Prime factorization of 74589 in exponential form is:

74589 = 3¹ × 23² × 47¹

Step-2: Prime Factorization of 74601

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

74601 = 3⁵ × 307¹

Step-3: Factors of 74589

List of positive integer factors of 74589 that divides 74589 without a remainder.

1, 3, 23, 47, 69, 141, 529, 1081, 1587, 3243, 24863

Step-4: Factors of 74601

List of positive integer factors of 74601 that divides 74589 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74589 and 74601. The biggest common factor number is the GCF number.
So the greatest common factor 74589 and 74601 is 3.

Also check out the Least Common Multiple of 74589 and 74601