What is the Greatest Common Factor of 39792 and 39808?

Greatest common factor (GCF) of 39792 and 39808 is 16.

GCF(39792,39808) = 16

We will now calculate the prime factors of 39792 and 39808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39792 and 39808.

How to find the GCF of 39792 and 39808?

We will first find the prime factorization of 39792 and 39808. After we will calculate the factors of 39792 and 39808 and find the biggest common factor number .

Step-1: Prime Factorization of 39792

Prime factors of 39792 are 2, 3, 829. Prime factorization of 39792 in exponential form is:

39792 = 2⁴ × 3¹ × 829¹

Step-2: Prime Factorization of 39808

Prime factors of 39808 are 2, 311. Prime factorization of 39808 in exponential form is:

39808 = 2⁷ × 311¹

Step-3: Factors of 39792

List of positive integer factors of 39792 that divides 39792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896

Step-4: Factors of 39808

List of positive integer factors of 39808 that divides 39792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 311, 622, 1244, 2488, 4976, 9952, 19904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39792 and 39808. The biggest common factor number is the GCF number.
So the greatest common factor 39792 and 39808 is 16.

Also check out the Least Common Multiple of 39792 and 39808