What is the Greatest Common Factor of 3249 and 3264?

Greatest common factor (GCF) of 3249 and 3264 is 3.

GCF(3249,3264) = 3

We will now calculate the prime factors of 3249 and 3264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3249 and 3264.

How to find the GCF of 3249 and 3264?

We will first find the prime factorization of 3249 and 3264. After we will calculate the factors of 3249 and 3264 and find the biggest common factor number .

Step-1: Prime Factorization of 3249

Prime factors of 3249 are 3, 19. Prime factorization of 3249 in exponential form is:

3249 = 3² × 19²

Step-2: Prime Factorization of 3264

Prime factors of 3264 are 2, 3, 17. Prime factorization of 3264 in exponential form is:

3264 = 2⁶ × 3¹ × 17¹

Step-3: Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1, 3, 9, 19, 57, 171, 361, 1083

Step-4: Factors of 3264

List of positive integer factors of 3264 that divides 3249 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3249 and 3264. The biggest common factor number is the GCF number.
So the greatest common factor 3249 and 3264 is 3.

Also check out the Least Common Multiple of 3249 and 3264