What is the Greatest Common Factor of 3456 and 3474?

Greatest common factor (GCF) of 3456 and 3474 is 18.

GCF(3456,3474) = 18

We will now calculate the prime factors of 3456 and 3474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3456 and 3474.

How to find the GCF of 3456 and 3474?

We will first find the prime factorization of 3456 and 3474. After we will calculate the factors of 3456 and 3474 and find the biggest common factor number .

Step-1: Prime Factorization of 3456

Prime factors of 3456 are 2, 3. Prime factorization of 3456 in exponential form is:

3456 = 2⁷ × 3³

Step-2: Prime Factorization of 3474

Prime factors of 3474 are 2, 3, 193. Prime factorization of 3474 in exponential form is:

3474 = 2¹ × 3² × 193¹

Step-3: Factors of 3456

List of positive integer factors of 3456 that divides 3456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728

Step-4: Factors of 3474

List of positive integer factors of 3474 that divides 3456 without a remainder.

1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3456 and 3474. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3474 is 18.

Also check out the Least Common Multiple of 3456 and 3474