What is the Greatest Common Factor of 3354 and 3364?

Greatest common factor (GCF) of 3354 and 3364 is 2.

GCF(3354,3364) = 2

We will now calculate the prime factors of 3354 and 3364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3354 and 3364.

How to find the GCF of 3354 and 3364?

We will first find the prime factorization of 3354 and 3364. After we will calculate the factors of 3354 and 3364 and find the biggest common factor number .

Step-1: Prime Factorization of 3354

Prime factors of 3354 are 2, 3, 13, 43. Prime factorization of 3354 in exponential form is:

3354 = 2¹ × 3¹ × 13¹ × 43¹

Step-2: Prime Factorization of 3364

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

3364 = 2² × 29²

Step-3: Factors of 3354

List of positive integer factors of 3354 that divides 3354 without a remainder.

1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677

Step-4: Factors of 3364

List of positive integer factors of 3364 that divides 3354 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3354 and 3364. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3364 is 2.

Also check out the Least Common Multiple of 3354 and 3364