What is the Greatest Common Factor of 91275 and 91280?

Greatest common factor (GCF) of 91275 and 91280 is 5.

GCF(91275,91280) = 5

We will now calculate the prime factors of 91275 and 91280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91275 and 91280.

How to find the GCF of 91275 and 91280?

We will first find the prime factorization of 91275 and 91280. After we will calculate the factors of 91275 and 91280 and find the biggest common factor number .

Step-1: Prime Factorization of 91275

Prime factors of 91275 are 3, 5, 1217. Prime factorization of 91275 in exponential form is:

91275 = 3¹ × 5² × 1217¹

Step-2: Prime Factorization of 91280

Prime factors of 91280 are 2, 5, 7, 163. Prime factorization of 91280 in exponential form is:

91280 = 2⁴ × 5¹ × 7¹ × 163¹

Step-3: Factors of 91275

List of positive integer factors of 91275 that divides 91275 without a remainder.

1, 3, 5, 15, 25, 75, 1217, 3651, 6085, 18255, 30425

Step-4: Factors of 91280

List of positive integer factors of 91280 that divides 91275 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 163, 280, 326, 560, 652, 815, 1141, 1304, 1630, 2282, 2608, 3260, 4564, 5705, 6520, 9128, 11410, 13040, 18256, 22820, 45640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91275 and 91280. The biggest common factor number is the GCF number.
So the greatest common factor 91275 and 91280 is 5.

Also check out the Least Common Multiple of 91275 and 91280