What is the Greatest Common Factor of 50895 and 50908?

Greatest common factor (GCF) of 50895 and 50908 is 13.

GCF(50895,50908) = 13

We will now calculate the prime factors of 50895 and 50908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50895 and 50908.

How to find the GCF of 50895 and 50908?

We will first find the prime factorization of 50895 and 50908. After we will calculate the factors of 50895 and 50908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50908

Prime factors of 50908 are 2, 11, 13, 89. Prime factorization of 50908 in exponential form is:

50908 = 2² × 11¹ × 13¹ × 89¹

Step-3: Factors of 50895

List of positive integer factors of 50895 that divides 50895 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

Step-4: Factors of 50908

List of positive integer factors of 50908 that divides 50895 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 89, 143, 178, 286, 356, 572, 979, 1157, 1958, 2314, 3916, 4628, 12727, 25454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50895 and 50908. The biggest common factor number is the GCF number.
So the greatest common factor 50895 and 50908 is 13.

Also check out the Least Common Multiple of 50895 and 50908