What is the Greatest Common Factor of 91165 and 91180?

Greatest common factor (GCF) of 91165 and 91180 is 5.

GCF(91165,91180) = 5

We will now calculate the prime factors of 91165 and 91180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91165 and 91180.

How to find the GCF of 91165 and 91180?

We will first find the prime factorization of 91165 and 91180. After we will calculate the factors of 91165 and 91180 and find the biggest common factor number .

Step-1: Prime Factorization of 91165

Prime factors of 91165 are 5, 18233. Prime factorization of 91165 in exponential form is:

91165 = 5¹ × 18233¹

Step-2: Prime Factorization of 91180

Prime factors of 91180 are 2, 5, 47, 97. Prime factorization of 91180 in exponential form is:

91180 = 2² × 5¹ × 47¹ × 97¹

Step-3: Factors of 91165

List of positive integer factors of 91165 that divides 91165 without a remainder.

1, 5, 18233

Step-4: Factors of 91180

List of positive integer factors of 91180 that divides 91165 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 97, 188, 194, 235, 388, 470, 485, 940, 970, 1940, 4559, 9118, 18236, 22795, 45590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91165 and 91180. The biggest common factor number is the GCF number.
So the greatest common factor 91165 and 91180 is 5.

Also check out the Least Common Multiple of 91165 and 91180