What is the Greatest Common Factor of 50336 and 50350?

Greatest common factor (GCF) of 50336 and 50350 is 2.

GCF(50336,50350) = 2

We will now calculate the prime factors of 50336 and 50350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50336 and 50350.

How to find the GCF of 50336 and 50350?

We will first find the prime factorization of 50336 and 50350. After we will calculate the factors of 50336 and 50350 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 50350

Prime factors of 50350 are 2, 5, 19, 53. Prime factorization of 50350 in exponential form is:

50350 = 2¹ × 5² × 19¹ × 53¹

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 50350

List of positive integer factors of 50350 that divides 50336 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 53, 95, 106, 190, 265, 475, 530, 950, 1007, 1325, 2014, 2650, 5035, 10070, 25175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50336 and 50350. The biggest common factor number is the GCF number.
So the greatest common factor 50336 and 50350 is 2.

Also check out the Least Common Multiple of 50336 and 50350