What is the Greatest Common Factor of 39456 and 39472?

Greatest common factor (GCF) of 39456 and 39472 is 16.

GCF(39456,39472) = 16

We will now calculate the prime factors of 39456 and 39472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39456 and 39472.

How to find the GCF of 39456 and 39472?

We will first find the prime factorization of 39456 and 39472. After we will calculate the factors of 39456 and 39472 and find the biggest common factor number .

Step-1: Prime Factorization of 39456

Prime factors of 39456 are 2, 3, 137. Prime factorization of 39456 in exponential form is:

39456 = 2⁵ × 3² × 137¹

Step-2: Prime Factorization of 39472

Prime factors of 39472 are 2, 2467. Prime factorization of 39472 in exponential form is:

39472 = 2⁴ × 2467¹

Step-3: Factors of 39456

List of positive integer factors of 39456 that divides 39456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 137, 144, 274, 288, 411, 548, 822, 1096, 1233, 1644, 2192, 2466, 3288, 4384, 4932, 6576, 9864, 13152, 19728

Step-4: Factors of 39472

List of positive integer factors of 39472 that divides 39456 without a remainder.

1, 2, 4, 8, 16, 2467, 4934, 9868, 19736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39456 and 39472. The biggest common factor number is the GCF number.
So the greatest common factor 39456 and 39472 is 16.

Also check out the Least Common Multiple of 39456 and 39472