What is the Greatest Common Factor of 39392 and 39408?

Greatest common factor (GCF) of 39392 and 39408 is 16.

GCF(39392,39408) = 16

We will now calculate the prime factors of 39392 and 39408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39392 and 39408.

How to find the GCF of 39392 and 39408?

We will first find the prime factorization of 39392 and 39408. After we will calculate the factors of 39392 and 39408 and find the biggest common factor number .

Step-1: Prime Factorization of 39392

Prime factors of 39392 are 2, 1231. Prime factorization of 39392 in exponential form is:

39392 = 2⁵ × 1231¹

Step-2: Prime Factorization of 39408

Prime factors of 39408 are 2, 3, 821. Prime factorization of 39408 in exponential form is:

39408 = 2⁴ × 3¹ × 821¹

Step-3: Factors of 39392

List of positive integer factors of 39392 that divides 39392 without a remainder.

1, 2, 4, 8, 16, 32, 1231, 2462, 4924, 9848, 19696

Step-4: Factors of 39408

List of positive integer factors of 39408 that divides 39392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39392 and 39408. The biggest common factor number is the GCF number.
So the greatest common factor 39392 and 39408 is 16.

Also check out the Least Common Multiple of 39392 and 39408