What is the Greatest Common Factor of 3384 and 3402?

Greatest common factor (GCF) of 3384 and 3402 is 18.

GCF(3384,3402) = 18

We will now calculate the prime factors of 3384 and 3402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3384 and 3402.

How to find the GCF of 3384 and 3402?

We will first find the prime factorization of 3384 and 3402. After we will calculate the factors of 3384 and 3402 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 3402

Prime factors of 3402 are 2, 3, 7. Prime factorization of 3402 in exponential form is:

3402 = 2¹ × 3⁵ × 7¹

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 3402

List of positive integer factors of 3402 that divides 3384 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3384 and 3402. The biggest common factor number is the GCF number.
So the greatest common factor 3384 and 3402 is 18.

Also check out the Least Common Multiple of 3384 and 3402