What is the Greatest Common Factor of 92325 and 92335?

Greatest common factor (GCF) of 92325 and 92335 is 5.

GCF(92325,92335) = 5

We will now calculate the prime factors of 92325 and 92335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92325 and 92335.

How to find the GCF of 92325 and 92335?

We will first find the prime factorization of 92325 and 92335. After we will calculate the factors of 92325 and 92335 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 92335

Prime factors of 92335 are 5, 59, 313. Prime factorization of 92335 in exponential form is:

92335 = 5¹ × 59¹ × 313¹

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 92335

List of positive integer factors of 92335 that divides 92325 without a remainder.

1, 5, 59, 295, 313, 1565, 18467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92325 and 92335. The biggest common factor number is the GCF number.
So the greatest common factor 92325 and 92335 is 5.

Also check out the Least Common Multiple of 92325 and 92335