What is the Greatest Common Factor of 92660 and 92675?

Greatest common factor (GCF) of 92660 and 92675 is 5.

GCF(92660,92675) = 5

We will now calculate the prime factors of 92660 and 92675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92660 and 92675.

How to find the GCF of 92660 and 92675?

We will first find the prime factorization of 92660 and 92675. After we will calculate the factors of 92660 and 92675 and find the biggest common factor number .

Step-1: Prime Factorization of 92660

Prime factors of 92660 are 2, 5, 41, 113. Prime factorization of 92660 in exponential form is:

92660 = 2² × 5¹ × 41¹ × 113¹

Step-2: Prime Factorization of 92675

Prime factors of 92675 are 5, 11, 337. Prime factorization of 92675 in exponential form is:

92675 = 5² × 11¹ × 337¹

Step-3: Factors of 92660

List of positive integer factors of 92660 that divides 92660 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 113, 164, 205, 226, 410, 452, 565, 820, 1130, 2260, 4633, 9266, 18532, 23165, 46330

Step-4: Factors of 92675

List of positive integer factors of 92675 that divides 92660 without a remainder.

1, 5, 11, 25, 55, 275, 337, 1685, 3707, 8425, 18535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92660 and 92675. The biggest common factor number is the GCF number.
So the greatest common factor 92660 and 92675 is 5.

Also check out the Least Common Multiple of 92660 and 92675