What is the Greatest Common Factor of 79224 and 79236?

Greatest common factor (GCF) of 79224 and 79236 is 12.

GCF(79224,79236) = 12

We will now calculate the prime factors of 79224 and 79236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79224 and 79236.

How to find the GCF of 79224 and 79236?

We will first find the prime factorization of 79224 and 79236. After we will calculate the factors of 79224 and 79236 and find the biggest common factor number .

Step-1: Prime Factorization of 79224

Prime factors of 79224 are 2, 3, 3301. Prime factorization of 79224 in exponential form is:

79224 = 2³ × 3¹ × 3301¹

Step-2: Prime Factorization of 79236

Prime factors of 79236 are 2, 3, 31, 71. Prime factorization of 79236 in exponential form is:

79236 = 2² × 3² × 31¹ × 71¹

Step-3: Factors of 79224

List of positive integer factors of 79224 that divides 79224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3301, 6602, 9903, 13204, 19806, 26408, 39612

Step-4: Factors of 79236

List of positive integer factors of 79236 that divides 79224 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 71, 93, 124, 142, 186, 213, 279, 284, 372, 426, 558, 639, 852, 1116, 1278, 2201, 2556, 4402, 6603, 8804, 13206, 19809, 26412, 39618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79224 and 79236. The biggest common factor number is the GCF number.
So the greatest common factor 79224 and 79236 is 12.

Also check out the Least Common Multiple of 79224 and 79236