What is the Greatest Common Factor of 3364 and 3380?

Greatest common factor (GCF) of 3364 and 3380 is 4.

GCF(3364,3380) = 4

We will now calculate the prime factors of 3364 and 3380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3364 and 3380.

How to find the GCF of 3364 and 3380?

We will first find the prime factorization of 3364 and 3380. After we will calculate the factors of 3364 and 3380 and find the biggest common factor number .

Step-1: Prime Factorization of 3364

Prime factors of 3364 are 2, 29. Prime factorization of 3364 in exponential form is:

3364 = 2² × 29²

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 3364

List of positive integer factors of 3364 that divides 3364 without a remainder.

1, 2, 4, 29, 58, 116, 841, 1682

Step-4: Factors of 3380

List of positive integer factors of 3380 that divides 3364 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 3364 and 3380. The biggest common factor number is the GCF number.
So the greatest common factor 3364 and 3380 is 4.

Also check out the Least Common Multiple of 3364 and 3380