What is the Greatest Common Factor of 89625 and 89633?

Greatest common factor (GCF) of 89625 and 89633 is 1.

GCF(89625,89633) = 1

We will now calculate the prime factors of 89625 and 89633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89625 and 89633.

How to find the GCF of 89625 and 89633?

We will first find the prime factorization of 89625 and 89633. After we will calculate the factors of 89625 and 89633 and find the biggest common factor number .

Step-1: Prime Factorization of 89625

Prime factors of 89625 are 3, 5, 239. Prime factorization of 89625 in exponential form is:

89625 = 3¹ × 5³ × 239¹

Step-2: Prime Factorization of 89633

Prime factors of 89633 are 89633. Prime factorization of 89633 in exponential form is:

89633 = 89633¹

Step-3: Factors of 89625

List of positive integer factors of 89625 that divides 89625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 239, 375, 717, 1195, 3585, 5975, 17925, 29875

Step-4: Factors of 89633

List of positive integer factors of 89633 that divides 89625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89625 and 89633. The biggest common factor number is the GCF number.
So the greatest common factor 89625 and 89633 is 1.

Also check out the Least Common Multiple of 89625 and 89633