What is the Greatest Common Factor of 92175 and 92180?

Greatest common factor (GCF) of 92175 and 92180 is 5.

GCF(92175,92180) = 5

We will now calculate the prime factors of 92175 and 92180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92175 and 92180.

How to find the GCF of 92175 and 92180?

We will first find the prime factorization of 92175 and 92180. After we will calculate the factors of 92175 and 92180 and find the biggest common factor number .

Step-1: Prime Factorization of 92175

Prime factors of 92175 are 3, 5, 1229. Prime factorization of 92175 in exponential form is:

92175 = 3¹ × 5² × 1229¹

Step-2: Prime Factorization of 92180

Prime factors of 92180 are 2, 5, 11, 419. Prime factorization of 92180 in exponential form is:

92180 = 2² × 5¹ × 11¹ × 419¹

Step-3: Factors of 92175

List of positive integer factors of 92175 that divides 92175 without a remainder.

1, 3, 5, 15, 25, 75, 1229, 3687, 6145, 18435, 30725

Step-4: Factors of 92180

List of positive integer factors of 92180 that divides 92175 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 419, 838, 1676, 2095, 4190, 4609, 8380, 9218, 18436, 23045, 46090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92175 and 92180. The biggest common factor number is the GCF number.
So the greatest common factor 92175 and 92180 is 5.

Also check out the Least Common Multiple of 92175 and 92180