What is the Greatest Common Factor of 79272 and 79287?

Greatest common factor (GCF) of 79272 and 79287 is 3.

GCF(79272,79287) = 3

We will now calculate the prime factors of 79272 and 79287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79272 and 79287.

How to find the GCF of 79272 and 79287?

We will first find the prime factorization of 79272 and 79287. After we will calculate the factors of 79272 and 79287 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 79287

Prime factors of 79287 are 3, 13, 19, 107. Prime factorization of 79287 in exponential form is:

79287 = 3¹ × 13¹ × 19¹ × 107¹

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 79287

List of positive integer factors of 79287 that divides 79272 without a remainder.

1, 3, 13, 19, 39, 57, 107, 247, 321, 741, 1391, 2033, 4173, 6099, 26429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79272 and 79287. The biggest common factor number is the GCF number.
So the greatest common factor 79272 and 79287 is 3.

Also check out the Least Common Multiple of 79272 and 79287