What is the Greatest Common Factor of 44876 and 44889?

Greatest common factor (GCF) of 44876 and 44889 is 13.

GCF(44876,44889) = 13

We will now calculate the prime factors of 44876 and 44889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44876 and 44889.

How to find the GCF of 44876 and 44889?

We will first find the prime factorization of 44876 and 44889. After we will calculate the factors of 44876 and 44889 and find the biggest common factor number .

Step-1: Prime Factorization of 44876

Prime factors of 44876 are 2, 13, 863. Prime factorization of 44876 in exponential form is:

44876 = 2² × 13¹ × 863¹

Step-2: Prime Factorization of 44889

Prime factors of 44889 are 3, 13, 1151. Prime factorization of 44889 in exponential form is:

44889 = 3¹ × 13¹ × 1151¹

Step-3: Factors of 44876

List of positive integer factors of 44876 that divides 44876 without a remainder.

1, 2, 4, 13, 26, 52, 863, 1726, 3452, 11219, 22438

Step-4: Factors of 44889

List of positive integer factors of 44889 that divides 44876 without a remainder.

1, 3, 13, 39, 1151, 3453, 14963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44876 and 44889. The biggest common factor number is the GCF number.
So the greatest common factor 44876 and 44889 is 13.

Also check out the Least Common Multiple of 44876 and 44889