What is the Greatest Common Factor of 79272 and 79286?

Greatest common factor (GCF) of 79272 and 79286 is 2.

GCF(79272,79286) = 2

We will now calculate the prime factors of 79272 and 79286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79272 and 79286.

How to find the GCF of 79272 and 79286?

We will first find the prime factorization of 79272 and 79286. After we will calculate the factors of 79272 and 79286 and find the biggest common factor number .

Step-1: Prime Factorization of 79272

Prime factors of 79272 are 2, 3, 367. Prime factorization of 79272 in exponential form is:

79272 = 2³ × 3³ × 367¹

Step-2: Prime Factorization of 79286

Prime factors of 79286 are 2, 29, 1367. Prime factorization of 79286 in exponential form is:

79286 = 2¹ × 29¹ × 1367¹

Step-3: Factors of 79272

List of positive integer factors of 79272 that divides 79272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 6606, 8808, 9909, 13212, 19818, 26424, 39636

Step-4: Factors of 79286

List of positive integer factors of 79286 that divides 79272 without a remainder.

1, 2, 29, 58, 1367, 2734, 39643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79272 and 79286. The biggest common factor number is the GCF number.
So the greatest common factor 79272 and 79286 is 2.

Also check out the Least Common Multiple of 79272 and 79286