What is the Greatest Common Factor of 50336 and 50348?

Greatest common factor (GCF) of 50336 and 50348 is 4.

GCF(50336,50348) = 4

We will now calculate the prime factors of 50336 and 50348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50336 and 50348.

How to find the GCF of 50336 and 50348?

We will first find the prime factorization of 50336 and 50348. After we will calculate the factors of 50336 and 50348 and find the biggest common factor number .

Step-1: Prime Factorization of 50336

Prime factors of 50336 are 2, 11, 13. Prime factorization of 50336 in exponential form is:

50336 = 2⁵ × 11² × 13¹

Step-2: Prime Factorization of 50348

Prime factors of 50348 are 2, 41, 307. Prime factorization of 50348 in exponential form is:

50348 = 2² × 41¹ × 307¹

Step-3: Factors of 50336

List of positive integer factors of 50336 that divides 50336 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 121, 143, 176, 208, 242, 286, 352, 416, 484, 572, 968, 1144, 1573, 1936, 2288, 3146, 3872, 4576, 6292, 12584, 25168

Step-4: Factors of 50348

List of positive integer factors of 50348 that divides 50336 without a remainder.

1, 2, 4, 41, 82, 164, 307, 614, 1228, 12587, 25174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50336 and 50348. The biggest common factor number is the GCF number.
So the greatest common factor 50336 and 50348 is 4.

Also check out the Least Common Multiple of 50336 and 50348