What is the Greatest Common Factor of 8619 and 8625?

Greatest common factor (GCF) of 8619 and 8625 is 3.

GCF(8619,8625) = 3

We will now calculate the prime factors of 8619 and 8625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8619 and 8625.

How to find the GCF of 8619 and 8625?

We will first find the prime factorization of 8619 and 8625. After we will calculate the factors of 8619 and 8625 and find the biggest common factor number .

Step-1: Prime Factorization of 8619

Prime factors of 8619 are 3, 13, 17. Prime factorization of 8619 in exponential form is:

8619 = 3¹ × 13² × 17¹

Step-2: Prime Factorization of 8625

Prime factors of 8625 are 3, 5, 23. Prime factorization of 8625 in exponential form is:

8625 = 3¹ × 5³ × 23¹

Step-3: Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873

Step-4: Factors of 8625

List of positive integer factors of 8625 that divides 8619 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8619 and 8625. The biggest common factor number is the GCF number.
So the greatest common factor 8619 and 8625 is 3.

Also check out the Least Common Multiple of 8619 and 8625