What is the Greatest Common Factor of 50882 and 50895?

Greatest common factor (GCF) of 50882 and 50895 is 13.

GCF(50882,50895) = 13

We will now calculate the prime factors of 50882 and 50895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50882 and 50895.

How to find the GCF of 50882 and 50895?

We will first find the prime factorization of 50882 and 50895. After we will calculate the factors of 50882 and 50895 and find the biggest common factor number .

Step-1: Prime Factorization of 50882

Prime factors of 50882 are 2, 13, 19, 103. Prime factorization of 50882 in exponential form is:

50882 = 2¹ × 13¹ × 19¹ × 103¹

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 50882

List of positive integer factors of 50882 that divides 50882 without a remainder.

1, 2, 13, 19, 26, 38, 103, 206, 247, 494, 1339, 1957, 2678, 3914, 25441

Step-4: Factors of 50895

List of positive integer factors of 50895 that divides 50882 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 50882 and 50895. The biggest common factor number is the GCF number.
So the greatest common factor 50882 and 50895 is 13.

Also check out the Least Common Multiple of 50882 and 50895