What is the Greatest Common Factor of 91272 and 91290?

Greatest common factor (GCF) of 91272 and 91290 is 6.

GCF(91272,91290) = 6

We will now calculate the prime factors of 91272 and 91290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91272 and 91290.

How to find the GCF of 91272 and 91290?

We will first find the prime factorization of 91272 and 91290. After we will calculate the factors of 91272 and 91290 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 91290

Prime factors of 91290 are 2, 3, 5, 17, 179. Prime factorization of 91290 in exponential form is:

91290 = 2¹ × 3¹ × 5¹ × 17¹ × 179¹

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 91290

List of positive integer factors of 91290 that divides 91272 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 179, 255, 358, 510, 537, 895, 1074, 1790, 2685, 3043, 5370, 6086, 9129, 15215, 18258, 30430, 45645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91272 and 91290. The biggest common factor number is the GCF number.
So the greatest common factor 91272 and 91290 is 6.

Also check out the Least Common Multiple of 91272 and 91290