What is the Greatest Common Factor of 50889 and 50895?

Greatest common factor (GCF) of 50889 and 50895 is 3.

GCF(50889,50895) = 3

We will now calculate the prime factors of 50889 and 50895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50889 and 50895.

How to find the GCF of 50889 and 50895?

We will first find the prime factorization of 50889 and 50895. After we will calculate the factors of 50889 and 50895 and find the biggest common factor number .

Step-1: Prime Factorization of 50889

Prime factors of 50889 are 3, 16963. Prime factorization of 50889 in exponential form is:

50889 = 3¹ × 16963¹

Step-2: Prime Factorization of 50895

Prime factors of 50895 are 3, 5, 13, 29. Prime factorization of 50895 in exponential form is:

50895 = 3³ × 5¹ × 13¹ × 29¹

Step-3: Factors of 50889

List of positive integer factors of 50889 that divides 50889 without a remainder.

1, 3, 16963

Step-4: Factors of 50895

List of positive integer factors of 50895 that divides 50889 without a remainder.

1, 3, 5, 9, 13, 15, 27, 29, 39, 45, 65, 87, 117, 135, 145, 195, 261, 351, 377, 435, 585, 783, 1131, 1305, 1755, 1885, 3393, 3915, 5655, 10179, 16965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50889 and 50895. The biggest common factor number is the GCF number.
So the greatest common factor 50889 and 50895 is 3.

Also check out the Least Common Multiple of 50889 and 50895