What is the Greatest Common Factor of 49881 and 49889?

Greatest common factor (GCF) of 49881 and 49889 is 1.

GCF(49881,49889) = 1

We will now calculate the prime factors of 49881 and 49889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49881 and 49889.

How to find the GCF of 49881 and 49889?

We will first find the prime factorization of 49881 and 49889. After we will calculate the factors of 49881 and 49889 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 49889

Prime factors of 49889 are 7, 7127. Prime factorization of 49889 in exponential form is:

49889 = 7¹ × 7127¹

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 49889

List of positive integer factors of 49889 that divides 49881 without a remainder.

1, 7, 7127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49881 and 49889. The biggest common factor number is the GCF number.
So the greatest common factor 49881 and 49889 is 1.

Also check out the Least Common Multiple of 49881 and 49889