What is the Greatest Common Factor of 49908 and 49923?

Greatest common factor (GCF) of 49908 and 49923 is 3.

GCF(49908,49923) = 3

We will now calculate the prime factors of 49908 and 49923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49908 and 49923.

How to find the GCF of 49908 and 49923?

We will first find the prime factorization of 49908 and 49923. After we will calculate the factors of 49908 and 49923 and find the biggest common factor number .

Step-1: Prime Factorization of 49908

Prime factors of 49908 are 2, 3, 4159. Prime factorization of 49908 in exponential form is:

49908 = 2² × 3¹ × 4159¹

Step-2: Prime Factorization of 49923

Prime factors of 49923 are 3, 43. Prime factorization of 49923 in exponential form is:

49923 = 3³ × 43²

Step-3: Factors of 49908

List of positive integer factors of 49908 that divides 49908 without a remainder.

1, 2, 3, 4, 6, 12, 4159, 8318, 12477, 16636, 24954

Step-4: Factors of 49923

List of positive integer factors of 49923 that divides 49908 without a remainder.

1, 3, 9, 27, 43, 129, 387, 1161, 1849, 5547, 16641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49908 and 49923. The biggest common factor number is the GCF number.
So the greatest common factor 49908 and 49923 is 3.

Also check out the Least Common Multiple of 49908 and 49923