What is the Greatest Common Factor of 8601 and 8616?

Greatest common factor (GCF) of 8601 and 8616 is 3.

GCF(8601,8616) = 3

We will now calculate the prime factors of 8601 and 8616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8601 and 8616.

How to find the GCF of 8601 and 8616?

We will first find the prime factorization of 8601 and 8616. After we will calculate the factors of 8601 and 8616 and find the biggest common factor number .

Step-1: Prime Factorization of 8601

Prime factors of 8601 are 3, 47, 61. Prime factorization of 8601 in exponential form is:

8601 = 3¹ × 47¹ × 61¹

Step-2: Prime Factorization of 8616

Prime factors of 8616 are 2, 3, 359. Prime factorization of 8616 in exponential form is:

8616 = 2³ × 3¹ × 359¹

Step-3: Factors of 8601

List of positive integer factors of 8601 that divides 8601 without a remainder.

1, 3, 47, 61, 141, 183, 2867

Step-4: Factors of 8616

List of positive integer factors of 8616 that divides 8601 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8601 and 8616. The biggest common factor number is the GCF number.
So the greatest common factor 8601 and 8616 is 3.

Also check out the Least Common Multiple of 8601 and 8616