What is the Greatest Common Factor of 91275 and 91284?

Greatest common factor (GCF) of 91275 and 91284 is 3.

GCF(91275,91284) = 3

We will now calculate the prime factors of 91275 and 91284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91275 and 91284.

How to find the GCF of 91275 and 91284?

We will first find the prime factorization of 91275 and 91284. After we will calculate the factors of 91275 and 91284 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 91284

Prime factors of 91284 are 2, 3, 7607. Prime factorization of 91284 in exponential form is:

91284 = 2² × 3¹ × 7607¹

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 91284

List of positive integer factors of 91284 that divides 91275 without a remainder.

1, 2, 3, 4, 6, 12, 7607, 15214, 22821, 30428, 45642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91275 and 91284. The biggest common factor number is the GCF number.
So the greatest common factor 91275 and 91284 is 3.

Also check out the Least Common Multiple of 91275 and 91284