What is the Greatest Common Factor of 8616 and 8634?

Greatest common factor (GCF) of 8616 and 8634 is 6.

GCF(8616,8634) = 6

We will now calculate the prime factors of 8616 and 8634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8616 and 8634.

How to find the GCF of 8616 and 8634?

We will first find the prime factorization of 8616 and 8634. After we will calculate the factors of 8616 and 8634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8634

Prime factors of 8634 are 2, 3, 1439. Prime factorization of 8634 in exponential form is:

8634 = 2¹ × 3¹ × 1439¹

Step-3: Factors of 8616

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

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

Step-4: Factors of 8634

List of positive integer factors of 8634 that divides 8616 without a remainder.

1, 2, 3, 6, 1439, 2878, 4317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8616 and 8634. The biggest common factor number is the GCF number.
So the greatest common factor 8616 and 8634 is 6.

Also check out the Least Common Multiple of 8616 and 8634