What is the Greatest Common Factor of 49923 and 49935?

Greatest common factor (GCF) of 49923 and 49935 is 3.

GCF(49923,49935) = 3

We will now calculate the prime factors of 49923 and 49935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49923 and 49935.

How to find the GCF of 49923 and 49935?

We will first find the prime factorization of 49923 and 49935. After we will calculate the factors of 49923 and 49935 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 49935

Prime factors of 49935 are 3, 5, 3329. Prime factorization of 49935 in exponential form is:

49935 = 3¹ × 5¹ × 3329¹

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 49935

List of positive integer factors of 49935 that divides 49923 without a remainder.

1, 3, 5, 15, 3329, 9987, 16645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49923 and 49935. The biggest common factor number is the GCF number.
So the greatest common factor 49923 and 49935 is 3.

Also check out the Least Common Multiple of 49923 and 49935