What is the Greatest Common Factor of 8624 and 8635?

Greatest common factor (GCF) of 8624 and 8635 is 11.

GCF(8624,8635) = 11

We will now calculate the prime factors of 8624 and 8635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8624 and 8635.

How to find the GCF of 8624 and 8635?

We will first find the prime factorization of 8624 and 8635. After we will calculate the factors of 8624 and 8635 and find the biggest common factor number .

Step-1: Prime Factorization of 8624

Prime factors of 8624 are 2, 7, 11. Prime factorization of 8624 in exponential form is:

8624 = 2⁴ × 7² × 11¹

Step-2: Prime Factorization of 8635

Prime factors of 8635 are 5, 11, 157. Prime factorization of 8635 in exponential form is:

8635 = 5¹ × 11¹ × 157¹

Step-3: Factors of 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312

Step-4: Factors of 8635

List of positive integer factors of 8635 that divides 8624 without a remainder.

1, 5, 11, 55, 157, 785, 1727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8624 and 8635. The biggest common factor number is the GCF number.
So the greatest common factor 8624 and 8635 is 11.

Also check out the Least Common Multiple of 8624 and 8635