What is the Greatest Common Factor of 50885 and 50895?

Greatest common factor (GCF) of 50885 and 50895 is 5.

GCF(50885,50895) = 5

We will now calculate the prime factors of 50885 and 50895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50885 and 50895.

How to find the GCF of 50885 and 50895?

We will first find the prime factorization of 50885 and 50895. After we will calculate the factors of 50885 and 50895 and find the biggest common factor number .

Step-1: Prime Factorization of 50885

Prime factors of 50885 are 5, 10177. Prime factorization of 50885 in exponential form is:

50885 = 5¹ × 10177¹

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 50885

List of positive integer factors of 50885 that divides 50885 without a remainder.

1, 5, 10177

Step-4: Factors of 50895

List of positive integer factors of 50895 that divides 50885 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 50885 and 50895. The biggest common factor number is the GCF number.
So the greatest common factor 50885 and 50895 is 5.

Also check out the Least Common Multiple of 50885 and 50895