What is the Greatest Common Factor of 3364 and 3384?

Greatest common factor (GCF) of 3364 and 3384 is 4.

GCF(3364,3384) = 4

We will now calculate the prime factors of 3364 and 3384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3364 and 3384.

How to find the GCF of 3364 and 3384?

We will first find the prime factorization of 3364 and 3384. After we will calculate the factors of 3364 and 3384 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 3384

Prime factors of 3384 are 2, 3, 47. Prime factorization of 3384 in exponential form is:

3384 = 2³ × 3² × 47¹

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 3384

List of positive integer factors of 3384 that divides 3364 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3364 and 3384. The biggest common factor number is the GCF number.
So the greatest common factor 3364 and 3384 is 4.

Also check out the Least Common Multiple of 3364 and 3384