What is the Greatest Common Factor of 8624 and 8642?

Greatest common factor (GCF) of 8624 and 8642 is 2.

GCF(8624,8642) = 2

We will now calculate the prime factors of 8624 and 8642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8624 and 8642.

How to find the GCF of 8624 and 8642?

We will first find the prime factorization of 8624 and 8642. After we will calculate the factors of 8624 and 8642 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 8642

Prime factors of 8642 are 2, 29, 149. Prime factorization of 8642 in exponential form is:

8642 = 2¹ × 29¹ × 149¹

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 8642

List of positive integer factors of 8642 that divides 8624 without a remainder.

1, 2, 29, 58, 149, 298, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8624 and 8642. The biggest common factor number is the GCF number.
So the greatest common factor 8624 and 8642 is 2.

Also check out the Least Common Multiple of 8624 and 8642