What is the Greatest Common Factor of 8625 and 8633?

Greatest common factor (GCF) of 8625 and 8633 is 1.

GCF(8625,8633) = 1

We will now calculate the prime factors of 8625 and 8633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8625 and 8633.

How to find the GCF of 8625 and 8633?

We will first find the prime factorization of 8625 and 8633. After we will calculate the factors of 8625 and 8633 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 8633

Prime factors of 8633 are 89, 97. Prime factorization of 8633 in exponential form is:

8633 = 89¹ × 97¹

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 8633

List of positive integer factors of 8633 that divides 8625 without a remainder.

1, 89, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8625 and 8633. The biggest common factor number is the GCF number.
So the greatest common factor 8625 and 8633 is 1.

Also check out the Least Common Multiple of 8625 and 8633