What is the Greatest Common Factor of 3456 and 3464?

Greatest common factor (GCF) of 3456 and 3464 is 8.

GCF(3456,3464) = 8

We will now calculate the prime factors of 3456 and 3464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3456 and 3464.

How to find the GCF of 3456 and 3464?

We will first find the prime factorization of 3456 and 3464. After we will calculate the factors of 3456 and 3464 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 3464

Prime factors of 3464 are 2, 433. Prime factorization of 3464 in exponential form is:

3464 = 2³ × 433¹

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 3464

List of positive integer factors of 3464 that divides 3456 without a remainder.

1, 2, 4, 8, 433, 866, 1732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3456 and 3464. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3464 is 8.

Also check out the Least Common Multiple of 3456 and 3464