What is the Greatest Common Factor of 8609 and 8624?

Greatest common factor (GCF) of 8609 and 8624 is 1.

GCF(8609,8624) = 1

We will now calculate the prime factors of 8609 and 8624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8609 and 8624.

How to find the GCF of 8609 and 8624?

We will first find the prime factorization of 8609 and 8624. After we will calculate the factors of 8609 and 8624 and find the biggest common factor number .

Step-1: Prime Factorization of 8609

Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:

8609 = 8609¹

Step-2: 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-3: Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

Step-4: Factors of 8624

List of positive integer factors of 8624 that divides 8609 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8609 and 8624. The biggest common factor number is the GCF number.
So the greatest common factor 8609 and 8624 is 1.

Also check out the Least Common Multiple of 8609 and 8624