What is the Greatest Common Factor of 39904 and 39908?

Greatest common factor (GCF) of 39904 and 39908 is 4.

GCF(39904,39908) = 4

We will now calculate the prime factors of 39904 and 39908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39904 and 39908.

How to find the GCF of 39904 and 39908?

We will first find the prime factorization of 39904 and 39908. After we will calculate the factors of 39904 and 39908 and find the biggest common factor number .

Step-1: Prime Factorization of 39904

Prime factors of 39904 are 2, 29, 43. Prime factorization of 39904 in exponential form is:

39904 = 2⁵ × 29¹ × 43¹

Step-2: Prime Factorization of 39908

Prime factors of 39908 are 2, 11, 907. Prime factorization of 39908 in exponential form is:

39908 = 2² × 11¹ × 907¹

Step-3: Factors of 39904

List of positive integer factors of 39904 that divides 39904 without a remainder.

1, 2, 4, 8, 16, 29, 32, 43, 58, 86, 116, 172, 232, 344, 464, 688, 928, 1247, 1376, 2494, 4988, 9976, 19952

Step-4: Factors of 39908

List of positive integer factors of 39908 that divides 39904 without a remainder.

1, 2, 4, 11, 22, 44, 907, 1814, 3628, 9977, 19954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39904 and 39908. The biggest common factor number is the GCF number.
So the greatest common factor 39904 and 39908 is 4.

Also check out the Least Common Multiple of 39904 and 39908