What is the Greatest Common Factor of 49881 and 49899?

Greatest common factor (GCF) of 49881 and 49899 is 3.

GCF(49881,49899) = 3

We will now calculate the prime factors of 49881 and 49899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49881 and 49899.

How to find the GCF of 49881 and 49899?

We will first find the prime factorization of 49881 and 49899. After we will calculate the factors of 49881 and 49899 and find the biggest common factor number .

Step-1: Prime Factorization of 49881

Prime factors of 49881 are 3, 13, 1279. Prime factorization of 49881 in exponential form is:

49881 = 3¹ × 13¹ × 1279¹

Step-2: Prime Factorization of 49899

Prime factors of 49899 are 3, 16633. Prime factorization of 49899 in exponential form is:

49899 = 3¹ × 16633¹

Step-3: Factors of 49881

List of positive integer factors of 49881 that divides 49881 without a remainder.

1, 3, 13, 39, 1279, 3837, 16627

Step-4: Factors of 49899

List of positive integer factors of 49899 that divides 49881 without a remainder.

1, 3, 16633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49881 and 49899. The biggest common factor number is the GCF number.
So the greatest common factor 49881 and 49899 is 3.

Also check out the Least Common Multiple of 49881 and 49899