What is the Greatest Common Factor of 89625 and 89634?

Greatest common factor (GCF) of 89625 and 89634 is 3.

GCF(89625,89634) = 3

We will now calculate the prime factors of 89625 and 89634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89625 and 89634.

How to find the GCF of 89625 and 89634?

We will first find the prime factorization of 89625 and 89634. After we will calculate the factors of 89625 and 89634 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 89634

Prime factors of 89634 are 2, 3, 14939. Prime factorization of 89634 in exponential form is:

89634 = 2¹ × 3¹ × 14939¹

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 89634

List of positive integer factors of 89634 that divides 89625 without a remainder.

1, 2, 3, 6, 14939, 29878, 44817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89625 and 89634. The biggest common factor number is the GCF number.
So the greatest common factor 89625 and 89634 is 3.

Also check out the Least Common Multiple of 89625 and 89634