What is the Greatest Common Factor of 50895 and 50907?

Greatest common factor (GCF) of 50895 and 50907 is 3.

GCF(50895,50907) = 3

We will now calculate the prime factors of 50895 and 50907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50895 and 50907.

How to find the GCF of 50895 and 50907?

We will first find the prime factorization of 50895 and 50907. After we will calculate the factors of 50895 and 50907 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 50907

Prime factors of 50907 are 3, 71, 239. Prime factorization of 50907 in exponential form is:

50907 = 3¹ × 71¹ × 239¹

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 50907

List of positive integer factors of 50907 that divides 50895 without a remainder.

1, 3, 71, 213, 239, 717, 16969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50895 and 50907. The biggest common factor number is the GCF number.
So the greatest common factor 50895 and 50907 is 3.

Also check out the Least Common Multiple of 50895 and 50907