What is the Greatest Common Factor of 8625 and 8630?

Greatest common factor (GCF) of 8625 and 8630 is 5.

GCF(8625,8630) = 5

We will now calculate the prime factors of 8625 and 8630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8625 and 8630.

How to find the GCF of 8625 and 8630?

We will first find the prime factorization of 8625 and 8630. After we will calculate the factors of 8625 and 8630 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8630

Prime factors of 8630 are 2, 5, 863. Prime factorization of 8630 in exponential form is:

8630 = 2¹ × 5¹ × 863¹

Step-3: Factors of 8625

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

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

Step-4: Factors of 8630

List of positive integer factors of 8630 that divides 8625 without a remainder.

1, 2, 5, 10, 863, 1726, 4315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8625 and 8630. The biggest common factor number is the GCF number.
So the greatest common factor 8625 and 8630 is 5.

Also check out the Least Common Multiple of 8625 and 8630