What is the Greatest Common Factor of 91475 and 91480?

Greatest common factor (GCF) of 91475 and 91480 is 5.

GCF(91475,91480) = 5

We will now calculate the prime factors of 91475 and 91480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91475 and 91480.

How to find the GCF of 91475 and 91480?

We will first find the prime factorization of 91475 and 91480. After we will calculate the factors of 91475 and 91480 and find the biggest common factor number .

Step-1: Prime Factorization of 91475

Prime factors of 91475 are 5, 3659. Prime factorization of 91475 in exponential form is:

91475 = 5² × 3659¹

Step-2: Prime Factorization of 91480

Prime factors of 91480 are 2, 5, 2287. Prime factorization of 91480 in exponential form is:

91480 = 2³ × 5¹ × 2287¹

Step-3: Factors of 91475

List of positive integer factors of 91475 that divides 91475 without a remainder.

1, 5, 25, 3659, 18295

Step-4: Factors of 91480

List of positive integer factors of 91480 that divides 91475 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2287, 4574, 9148, 11435, 18296, 22870, 45740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91475 and 91480. The biggest common factor number is the GCF number.
So the greatest common factor 91475 and 91480 is 5.

Also check out the Least Common Multiple of 91475 and 91480