What is the Greatest Common Factor of 74601 and 74616?

Greatest common factor (GCF) of 74601 and 74616 is 3.

GCF(74601,74616) = 3

We will now calculate the prime factors of 74601 and 74616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74601 and 74616.

How to find the GCF of 74601 and 74616?

We will first find the prime factorization of 74601 and 74616. After we will calculate the factors of 74601 and 74616 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 74616

Prime factors of 74616 are 2, 3, 3109. Prime factorization of 74616 in exponential form is:

74616 = 2³ × 3¹ × 3109¹

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 74616

List of positive integer factors of 74616 that divides 74601 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3109, 6218, 9327, 12436, 18654, 24872, 37308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74601 and 74616. The biggest common factor number is the GCF number.
So the greatest common factor 74601 and 74616 is 3.

Also check out the Least Common Multiple of 74601 and 74616