What is the Greatest Common Factor of 8624 and 8633?

Greatest common factor (GCF) of 8624 and 8633 is 1.

GCF(8624,8633) = 1

We will now calculate the prime factors of 8624 and 8633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8624 and 8633.

How to find the GCF of 8624 and 8633?

We will first find the prime factorization of 8624 and 8633. After we will calculate the factors of 8624 and 8633 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 8633

Prime factors of 8633 are 89, 97. Prime factorization of 8633 in exponential form is:

8633 = 89¹ × 97¹

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 8633

List of positive integer factors of 8633 that divides 8624 without a remainder.

1, 89, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8624 and 8633. The biggest common factor number is the GCF number.
So the greatest common factor 8624 and 8633 is 1.

Also check out the Least Common Multiple of 8624 and 8633