What is the Greatest Common Factor of 78264 and 78276?

Greatest common factor (GCF) of 78264 and 78276 is 12.

GCF(78264,78276) = 12

We will now calculate the prime factors of 78264 and 78276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78264 and 78276.

How to find the GCF of 78264 and 78276?

We will first find the prime factorization of 78264 and 78276. After we will calculate the factors of 78264 and 78276 and find the biggest common factor number .

Step-1: Prime Factorization of 78264

Prime factors of 78264 are 2, 3, 1087. Prime factorization of 78264 in exponential form is:

78264 = 2³ × 3² × 1087¹

Step-2: Prime Factorization of 78276

Prime factors of 78276 are 2, 3, 11, 593. Prime factorization of 78276 in exponential form is:

78276 = 2² × 3¹ × 11¹ × 593¹

Step-3: Factors of 78264

List of positive integer factors of 78264 that divides 78264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1087, 2174, 3261, 4348, 6522, 8696, 9783, 13044, 19566, 26088, 39132

Step-4: Factors of 78276

List of positive integer factors of 78276 that divides 78264 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 593, 1186, 1779, 2372, 3558, 6523, 7116, 13046, 19569, 26092, 39138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78264 and 78276. The biggest common factor number is the GCF number.
So the greatest common factor 78264 and 78276 is 12.

Also check out the Least Common Multiple of 78264 and 78276