What is the Greatest Common Factor of 79252 and 79272?

Greatest common factor (GCF) of 79252 and 79272 is 4.

GCF(79252,79272) = 4

We will now calculate the prime factors of 79252 and 79272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79252 and 79272.

How to find the GCF of 79252 and 79272?

We will first find the prime factorization of 79252 and 79272. After we will calculate the factors of 79252 and 79272 and find the biggest common factor number .

Step-1: Prime Factorization of 79252

Prime factors of 79252 are 2, 19813. Prime factorization of 79252 in exponential form is:

79252 = 2² × 19813¹

Step-2: 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-3: Factors of 79252

List of positive integer factors of 79252 that divides 79252 without a remainder.

1, 2, 4, 19813, 39626

Step-4: Factors of 79272

List of positive integer factors of 79272 that divides 79252 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79252 and 79272. The biggest common factor number is the GCF number.
So the greatest common factor 79252 and 79272 is 4.

Also check out the Least Common Multiple of 79252 and 79272