What is the Greatest Common Factor of 264 and 276?

Greatest common factor (GCF) of 264 and 276 is 12.

GCF(264,276) = 12

We will now calculate the prime factors of 264 and 276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 264 and 276.

How to find the GCF of 264 and 276?

We will first find the prime factorization of 264 and 276. After we will calculate the factors of 264 and 276 and find the biggest common factor number .

Step-1: Prime Factorization of 264

Prime factors of 264 are 2, 3, 11. Prime factorization of 264 in exponential form is:

264 = 2³ × 3¹ × 11¹

Step-2: Prime Factorization of 276

Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:

276 = 2² × 3¹ × 23¹

Step-3: Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132

Step-4: Factors of 276

List of positive integer factors of 276 that divides 264 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 264 and 276. The biggest common factor number is the GCF number.
So the greatest common factor 264 and 276 is 12.

Also check out the Least Common Multiple of 264 and 276