What is the Greatest Common Factor of 89325 and 89331?

Greatest common factor (GCF) of 89325 and 89331 is 3.

GCF(89325,89331) = 3

We will now calculate the prime factors of 89325 and 89331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89325 and 89331.

How to find the GCF of 89325 and 89331?

We will first find the prime factorization of 89325 and 89331. After we will calculate the factors of 89325 and 89331 and find the biggest common factor number .

Step-1: Prime Factorization of 89325

Prime factors of 89325 are 3, 5, 397. Prime factorization of 89325 in exponential form is:

89325 = 3² × 5² × 397¹

Step-2: Prime Factorization of 89331

Prime factors of 89331 are 3, 11, 2707. Prime factorization of 89331 in exponential form is:

89331 = 3¹ × 11¹ × 2707¹

Step-3: Factors of 89325

List of positive integer factors of 89325 that divides 89325 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 397, 1191, 1985, 3573, 5955, 9925, 17865, 29775

Step-4: Factors of 89331

List of positive integer factors of 89331 that divides 89325 without a remainder.

1, 3, 11, 33, 2707, 8121, 29777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89325 and 89331. The biggest common factor number is the GCF number.
So the greatest common factor 89325 and 89331 is 3.

Also check out the Least Common Multiple of 89325 and 89331