What is the Greatest Common Factor of 39904 and 39923?

Greatest common factor (GCF) of 39904 and 39923 is 1.

GCF(39904,39923) = 1

We will now calculate the prime factors of 39904 and 39923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39904 and 39923.

How to find the GCF of 39904 and 39923?

We will first find the prime factorization of 39904 and 39923. After we will calculate the factors of 39904 and 39923 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 39923

Prime factors of 39923 are 13, 37, 83. Prime factorization of 39923 in exponential form is:

39923 = 13¹ × 37¹ × 83¹

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 39923

List of positive integer factors of 39923 that divides 39904 without a remainder.

1, 13, 37, 83, 481, 1079, 3071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39904 and 39923. The biggest common factor number is the GCF number.
So the greatest common factor 39904 and 39923 is 1.

Also check out the Least Common Multiple of 39904 and 39923