What is the Greatest Common Factor of 93160 and 93175?

Greatest common factor (GCF) of 93160 and 93175 is 5.

GCF(93160,93175) = 5

We will now calculate the prime factors of 93160 and 93175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93160 and 93175.

How to find the GCF of 93160 and 93175?

We will first find the prime factorization of 93160 and 93175. After we will calculate the factors of 93160 and 93175 and find the biggest common factor number .

Step-1: Prime Factorization of 93160

Prime factors of 93160 are 2, 5, 17, 137. Prime factorization of 93160 in exponential form is:

93160 = 2³ × 5¹ × 17¹ × 137¹

Step-2: Prime Factorization of 93175

Prime factors of 93175 are 5, 3727. Prime factorization of 93175 in exponential form is:

93175 = 5² × 3727¹

Step-3: Factors of 93160

List of positive integer factors of 93160 that divides 93160 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 137, 170, 274, 340, 548, 680, 685, 1096, 1370, 2329, 2740, 4658, 5480, 9316, 11645, 18632, 23290, 46580

Step-4: Factors of 93175

List of positive integer factors of 93175 that divides 93160 without a remainder.

1, 5, 25, 3727, 18635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93160 and 93175. The biggest common factor number is the GCF number.
So the greatest common factor 93160 and 93175 is 5.

Also check out the Least Common Multiple of 93160 and 93175