What is the Greatest Common Factor of 3367 and 3380?

Greatest common factor (GCF) of 3367 and 3380 is 13.

GCF(3367,3380) = 13

We will now calculate the prime factors of 3367 and 3380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3367 and 3380.

How to find the GCF of 3367 and 3380?

We will first find the prime factorization of 3367 and 3380. After we will calculate the factors of 3367 and 3380 and find the biggest common factor number .

Step-1: Prime Factorization of 3367

Prime factors of 3367 are 7, 13, 37. Prime factorization of 3367 in exponential form is:

3367 = 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 3380

Prime factors of 3380 are 2, 5, 13. Prime factorization of 3380 in exponential form is:

3380 = 2² × 5¹ × 13²

Step-3: Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1, 7, 13, 37, 91, 259, 481

Step-4: Factors of 3380

List of positive integer factors of 3380 that divides 3367 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3367 and 3380. The biggest common factor number is the GCF number.
So the greatest common factor 3367 and 3380 is 13.

Also check out the Least Common Multiple of 3367 and 3380