What is the Greatest Common Factor of 3269 and 3276?

Greatest common factor (GCF) of 3269 and 3276 is 7.

GCF(3269,3276) = 7

We will now calculate the prime factors of 3269 and 3276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3269 and 3276.

How to find the GCF of 3269 and 3276?

We will first find the prime factorization of 3269 and 3276. After we will calculate the factors of 3269 and 3276 and find the biggest common factor number .

Step-1: Prime Factorization of 3269

Prime factors of 3269 are 7, 467. Prime factorization of 3269 in exponential form is:

3269 = 7¹ × 467¹

Step-2: 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-3: Factors of 3269

List of positive integer factors of 3269 that divides 3269 without a remainder.

1, 7, 467

Step-4: Factors of 3276

List of positive integer factors of 3276 that divides 3269 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3269 and 3276. The biggest common factor number is the GCF number.
So the greatest common factor 3269 and 3276 is 7.

Also check out the Least Common Multiple of 3269 and 3276