What is the Greatest Common Factor of 49923 and 49941?

Greatest common factor (GCF) of 49923 and 49941 is 9.

GCF(49923,49941) = 9

We will now calculate the prime factors of 49923 and 49941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49923 and 49941.

How to find the GCF of 49923 and 49941?

We will first find the prime factorization of 49923 and 49941. After we will calculate the factors of 49923 and 49941 and find the biggest common factor number .

Step-1: Prime Factorization of 49923

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

49923 = 3³ × 43²

Step-2: Prime Factorization of 49941

Prime factors of 49941 are 3, 31, 179. Prime factorization of 49941 in exponential form is:

49941 = 3² × 31¹ × 179¹

Step-3: Factors of 49923

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

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

Step-4: Factors of 49941

List of positive integer factors of 49941 that divides 49923 without a remainder.

1, 3, 9, 31, 93, 179, 279, 537, 1611, 5549, 16647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49923 and 49941. The biggest common factor number is the GCF number.
So the greatest common factor 49923 and 49941 is 9.

Also check out the Least Common Multiple of 49923 and 49941