What is the Greatest Common Factor of 3450 and 3456?

Greatest common factor (GCF) of 3450 and 3456 is 6.

GCF(3450,3456) = 6

We will now calculate the prime factors of 3450 and 3456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3450 and 3456.

How to find the GCF of 3450 and 3456?

We will first find the prime factorization of 3450 and 3456. After we will calculate the factors of 3450 and 3456 and find the biggest common factor number .

Step-1: Prime Factorization of 3450

Prime factors of 3450 are 2, 3, 5, 23. Prime factorization of 3450 in exponential form is:

3450 = 2¹ × 3¹ × 5² × 23¹

Step-2: Prime Factorization of 3456

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

3456 = 2⁷ × 3³

Step-3: Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725

Step-4: Factors of 3456

List of positive integer factors of 3456 that divides 3450 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3450 and 3456. The biggest common factor number is the GCF number.
So the greatest common factor 3450 and 3456 is 6.

Also check out the Least Common Multiple of 3450 and 3456