What is the Greatest Common Factor of 3276 and 3294?

Greatest common factor (GCF) of 3276 and 3294 is 18.

GCF(3276,3294) = 18

We will now calculate the prime factors of 3276 and 3294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3276 and 3294.

How to find the GCF of 3276 and 3294?

We will first find the prime factorization of 3276 and 3294. After we will calculate the factors of 3276 and 3294 and find the biggest common factor number .

Step-1: Prime Factorization of 3276

Prime factors of 3276 are 2, 3, 7, 13. Prime factorization of 3276 in exponential form is:

3276 = 2² × 3² × 7¹ × 13¹

Step-2: Prime Factorization of 3294

Prime factors of 3294 are 2, 3, 61. Prime factorization of 3294 in exponential form is:

3294 = 2¹ × 3³ × 61¹

Step-3: Factors of 3276

List of positive integer factors of 3276 that divides 3276 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1092, 1638

Step-4: Factors of 3294

List of positive integer factors of 3294 that divides 3276 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3276 and 3294. The biggest common factor number is the GCF number.
So the greatest common factor 3276 and 3294 is 18.

Also check out the Least Common Multiple of 3276 and 3294