What is the Greatest Common Factor of 50362 and 50375?

Greatest common factor (GCF) of 50362 and 50375 is 13.

GCF(50362,50375) = 13

We will now calculate the prime factors of 50362 and 50375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50362 and 50375.

How to find the GCF of 50362 and 50375?

We will first find the prime factorization of 50362 and 50375. After we will calculate the factors of 50362 and 50375 and find the biggest common factor number .

Step-1: Prime Factorization of 50362

Prime factors of 50362 are 2, 13, 149. Prime factorization of 50362 in exponential form is:

50362 = 2¹ × 13² × 149¹

Step-2: Prime Factorization of 50375

Prime factors of 50375 are 5, 13, 31. Prime factorization of 50375 in exponential form is:

50375 = 5³ × 13¹ × 31¹

Step-3: Factors of 50362

List of positive integer factors of 50362 that divides 50362 without a remainder.

1, 2, 13, 26, 149, 169, 298, 338, 1937, 3874, 25181

Step-4: Factors of 50375

List of positive integer factors of 50375 that divides 50362 without a remainder.

1, 5, 13, 25, 31, 65, 125, 155, 325, 403, 775, 1625, 2015, 3875, 10075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50362 and 50375. The biggest common factor number is the GCF number.
So the greatest common factor 50362 and 50375 is 13.

Also check out the Least Common Multiple of 50362 and 50375