What is the Greatest Common Factor of 3456 and 3472?

Greatest common factor (GCF) of 3456 and 3472 is 16.

GCF(3456,3472) = 16

We will now calculate the prime factors of 3456 and 3472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3456 and 3472.

How to find the GCF of 3456 and 3472?

We will first find the prime factorization of 3456 and 3472. After we will calculate the factors of 3456 and 3472 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 3472

Prime factors of 3472 are 2, 7, 31. Prime factorization of 3472 in exponential form is:

3472 = 2⁴ × 7¹ × 31¹

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 3472

List of positive integer factors of 3472 that divides 3456 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3456 and 3472. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3472 is 16.

Also check out the Least Common Multiple of 3456 and 3472