What is the Greatest Common Factor of 91272 and 91284?

Greatest common factor (GCF) of 91272 and 91284 is 12.

GCF(91272,91284) = 12

We will now calculate the prime factors of 91272 and 91284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91272 and 91284.

How to find the GCF of 91272 and 91284?

We will first find the prime factorization of 91272 and 91284. After we will calculate the factors of 91272 and 91284 and find the biggest common factor number .

Step-1: Prime Factorization of 91272

Prime factors of 91272 are 2, 3, 3803. Prime factorization of 91272 in exponential form is:

91272 = 2³ × 3¹ × 3803¹

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 91272

List of positive integer factors of 91272 that divides 91272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3803, 7606, 11409, 15212, 22818, 30424, 45636

Step-4: Factors of 91284

List of positive integer factors of 91284 that divides 91272 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 91272 and 91284. The biggest common factor number is the GCF number.
So the greatest common factor 91272 and 91284 is 12.

Also check out the Least Common Multiple of 91272 and 91284