What is the Greatest Common Factor of 39904 and 39918?

Greatest common factor (GCF) of 39904 and 39918 is 2.

GCF(39904,39918) = 2

We will now calculate the prime factors of 39904 and 39918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39904 and 39918.

How to find the GCF of 39904 and 39918?

We will first find the prime factorization of 39904 and 39918. After we will calculate the factors of 39904 and 39918 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 39918

Prime factors of 39918 are 2, 3, 6653. Prime factorization of 39918 in exponential form is:

39918 = 2¹ × 3¹ × 6653¹

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 39918

List of positive integer factors of 39918 that divides 39904 without a remainder.

1, 2, 3, 6, 6653, 13306, 19959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39904 and 39918. The biggest common factor number is the GCF number.
So the greatest common factor 39904 and 39918 is 2.

Also check out the Least Common Multiple of 39904 and 39918