What is the Greatest Common Factor of 3384 and 3404?

Greatest common factor (GCF) of 3384 and 3404 is 4.

GCF(3384,3404) = 4

We will now calculate the prime factors of 3384 and 3404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3384 and 3404.

How to find the GCF of 3384 and 3404?

We will first find the prime factorization of 3384 and 3404. After we will calculate the factors of 3384 and 3404 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3404

Prime factors of 3404 are 2, 23, 37. Prime factorization of 3404 in exponential form is:

3404 = 2² × 23¹ × 37¹

Step-3: Factors of 3384

List of positive integer factors of 3384 that divides 3384 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

Step-4: Factors of 3404

List of positive integer factors of 3404 that divides 3384 without a remainder.

1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3384 and 3404. The biggest common factor number is the GCF number.
So the greatest common factor 3384 and 3404 is 4.

Also check out the Least Common Multiple of 3384 and 3404