What is the Greatest Common Factor of 91265 and 91275?

Greatest common factor (GCF) of 91265 and 91275 is 5.

GCF(91265,91275) = 5

We will now calculate the prime factors of 91265 and 91275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91265 and 91275.

How to find the GCF of 91265 and 91275?

We will first find the prime factorization of 91265 and 91275. After we will calculate the factors of 91265 and 91275 and find the biggest common factor number .

Step-1: Prime Factorization of 91265

Prime factors of 91265 are 5, 18253. Prime factorization of 91265 in exponential form is:

91265 = 5¹ × 18253¹

Step-2: 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-3: Factors of 91265

List of positive integer factors of 91265 that divides 91265 without a remainder.

1, 5, 18253

Step-4: Factors of 91275

List of positive integer factors of 91275 that divides 91265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91265 and 91275. The biggest common factor number is the GCF number.
So the greatest common factor 91265 and 91275 is 5.

Also check out the Least Common Multiple of 91265 and 91275