What is the Greatest Common Factor of 93171 and 93177?

Greatest common factor (GCF) of 93171 and 93177 is 3.

GCF(93171,93177) = 3

We will now calculate the prime factors of 93171 and 93177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93171 and 93177.

How to find the GCF of 93171 and 93177?

We will first find the prime factorization of 93171 and 93177. After we will calculate the factors of 93171 and 93177 and find the biggest common factor number .

Step-1: Prime Factorization of 93171

Prime factors of 93171 are 3, 13, 2389. Prime factorization of 93171 in exponential form is:

93171 = 3¹ × 13¹ × 2389¹

Step-2: Prime Factorization of 93177

Prime factors of 93177 are 3, 7, 17, 29. Prime factorization of 93177 in exponential form is:

93177 = 3³ × 7¹ × 17¹ × 29¹

Step-3: Factors of 93171

List of positive integer factors of 93171 that divides 93171 without a remainder.

1, 3, 13, 39, 2389, 7167, 31057

Step-4: Factors of 93177

List of positive integer factors of 93177 that divides 93171 without a remainder.

1, 3, 7, 9, 17, 21, 27, 29, 51, 63, 87, 119, 153, 189, 203, 261, 357, 459, 493, 609, 783, 1071, 1479, 1827, 3213, 3451, 4437, 5481, 10353, 13311, 31059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93171 and 93177. The biggest common factor number is the GCF number.
So the greatest common factor 93171 and 93177 is 3.

Also check out the Least Common Multiple of 93171 and 93177