What is the Greatest Common Factor of 8610 and 8624?

Greatest common factor (GCF) of 8610 and 8624 is 14.

GCF(8610,8624) = 14

We will now calculate the prime factors of 8610 and 8624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8610 and 8624.

How to find the GCF of 8610 and 8624?

We will first find the prime factorization of 8610 and 8624. After we will calculate the factors of 8610 and 8624 and find the biggest common factor number .

Step-1: Prime Factorization of 8610

Prime factors of 8610 are 2, 3, 5, 7, 41. Prime factorization of 8610 in exponential form is:

8610 = 2¹ × 3¹ × 5¹ × 7¹ × 41¹

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 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305

Step-4: Factors of 8624

List of positive integer factors of 8624 that divides 8610 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 8610 and 8624. The biggest common factor number is the GCF number.
So the greatest common factor 8610 and 8624 is 14.

Also check out the Least Common Multiple of 8610 and 8624