What is the Greatest Common Factor of 3249 and 3268?

Greatest common factor (GCF) of 3249 and 3268 is 19.

GCF(3249,3268) = 19

We will now calculate the prime factors of 3249 and 3268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3249 and 3268.

How to find the GCF of 3249 and 3268?

We will first find the prime factorization of 3249 and 3268. After we will calculate the factors of 3249 and 3268 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 3268

Prime factors of 3268 are 2, 19, 43. Prime factorization of 3268 in exponential form is:

3268 = 2² × 19¹ × 43¹

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 3268

List of positive integer factors of 3268 that divides 3249 without a remainder.

1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3249 and 3268. The biggest common factor number is the GCF number.
So the greatest common factor 3249 and 3268 is 19.

Also check out the Least Common Multiple of 3249 and 3268