What is the Greatest Common Factor of 3264 and 3270?

Greatest common factor (GCF) of 3264 and 3270 is 6.

GCF(3264,3270) = 6

We will now calculate the prime factors of 3264 and 3270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3264 and 3270.

How to find the GCF of 3264 and 3270?

We will first find the prime factorization of 3264 and 3270. After we will calculate the factors of 3264 and 3270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3270

Prime factors of 3270 are 2, 3, 5, 109. Prime factorization of 3270 in exponential form is:

3270 = 2¹ × 3¹ × 5¹ × 109¹

Step-3: Factors of 3264

List of positive integer factors of 3264 that divides 3264 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

Step-4: Factors of 3270

List of positive integer factors of 3270 that divides 3264 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3264 and 3270. The biggest common factor number is the GCF number.
So the greatest common factor 3264 and 3270 is 6.

Also check out the Least Common Multiple of 3264 and 3270