What is the Greatest Common Factor of 92325 and 92331?

Greatest common factor (GCF) of 92325 and 92331 is 3.

GCF(92325,92331) = 3

We will now calculate the prime factors of 92325 and 92331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92325 and 92331.

How to find the GCF of 92325 and 92331?

We will first find the prime factorization of 92325 and 92331. After we will calculate the factors of 92325 and 92331 and find the biggest common factor number .

Step-1: Prime Factorization of 92325

Prime factors of 92325 are 3, 5, 1231. Prime factorization of 92325 in exponential form is:

92325 = 3¹ × 5² × 1231¹

Step-2: Prime Factorization of 92331

Prime factors of 92331 are 3, 10259. Prime factorization of 92331 in exponential form is:

92331 = 3² × 10259¹

Step-3: Factors of 92325

List of positive integer factors of 92325 that divides 92325 without a remainder.

1, 3, 5, 15, 25, 75, 1231, 3693, 6155, 18465, 30775

Step-4: Factors of 92331

List of positive integer factors of 92331 that divides 92325 without a remainder.

1, 3, 9, 10259, 30777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92325 and 92331. The biggest common factor number is the GCF number.
So the greatest common factor 92325 and 92331 is 3.

Also check out the Least Common Multiple of 92325 and 92331