What is the Greatest Common Factor of 8617 and 8625?

Greatest common factor (GCF) of 8617 and 8625 is 1.

GCF(8617,8625) = 1

We will now calculate the prime factors of 8617 and 8625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8617 and 8625.

How to find the GCF of 8617 and 8625?

We will first find the prime factorization of 8617 and 8625. After we will calculate the factors of 8617 and 8625 and find the biggest common factor number .

Step-1: Prime Factorization of 8617

Prime factors of 8617 are 7, 1231. Prime factorization of 8617 in exponential form is:

8617 = 7¹ × 1231¹

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 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1, 7, 1231

Step-4: Factors of 8625

List of positive integer factors of 8625 that divides 8617 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 8617 and 8625. The biggest common factor number is the GCF number.
So the greatest common factor 8617 and 8625 is 1.

Also check out the Least Common Multiple of 8617 and 8625