What is the Greatest Common Factor of 92170 and 92175?

Greatest common factor (GCF) of 92170 and 92175 is 5.

GCF(92170,92175) = 5

We will now calculate the prime factors of 92170 and 92175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92170 and 92175.

How to find the GCF of 92170 and 92175?

We will first find the prime factorization of 92170 and 92175. After we will calculate the factors of 92170 and 92175 and find the biggest common factor number .

Step-1: Prime Factorization of 92170

Prime factors of 92170 are 2, 5, 13, 709. Prime factorization of 92170 in exponential form is:

92170 = 2¹ × 5¹ × 13¹ × 709¹

Step-2: 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-3: Factors of 92170

List of positive integer factors of 92170 that divides 92170 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 709, 1418, 3545, 7090, 9217, 18434, 46085

Step-4: Factors of 92175

List of positive integer factors of 92175 that divides 92170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92170 and 92175. The biggest common factor number is the GCF number.
So the greatest common factor 92170 and 92175 is 5.

Also check out the Least Common Multiple of 92170 and 92175