What is the Greatest Common Factor of 91284 and 91302?

Greatest common factor (GCF) of 91284 and 91302 is 6.

GCF(91284,91302) = 6

We will now calculate the prime factors of 91284 and 91302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91284 and 91302.

How to find the GCF of 91284 and 91302?

We will first find the prime factorization of 91284 and 91302. After we will calculate the factors of 91284 and 91302 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91302

Prime factors of 91302 are 2, 3, 15217. Prime factorization of 91302 in exponential form is:

91302 = 2¹ × 3¹ × 15217¹

Step-3: Factors of 91284

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

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

Step-4: Factors of 91302

List of positive integer factors of 91302 that divides 91284 without a remainder.

1, 2, 3, 6, 15217, 30434, 45651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91284 and 91302. The biggest common factor number is the GCF number.
So the greatest common factor 91284 and 91302 is 6.

Also check out the Least Common Multiple of 91284 and 91302