What is the Greatest Common Factor of 78264 and 78279?

Greatest common factor (GCF) of 78264 and 78279 is 3.

GCF(78264,78279) = 3

We will now calculate the prime factors of 78264 and 78279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78264 and 78279.

How to find the GCF of 78264 and 78279?

We will first find the prime factorization of 78264 and 78279. After we will calculate the factors of 78264 and 78279 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 78279

Prime factors of 78279 are 3, 97, 269. Prime factorization of 78279 in exponential form is:

78279 = 3¹ × 97¹ × 269¹

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 78279

List of positive integer factors of 78279 that divides 78264 without a remainder.

1, 3, 97, 269, 291, 807, 26093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78264 and 78279. The biggest common factor number is the GCF number.
So the greatest common factor 78264 and 78279 is 3.

Also check out the Least Common Multiple of 78264 and 78279