What is the Greatest Common Factor of 50344 and 50358?

Greatest common factor (GCF) of 50344 and 50358 is 14.

GCF(50344,50358) = 14

We will now calculate the prime factors of 50344 and 50358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50344 and 50358.

How to find the GCF of 50344 and 50358?

We will first find the prime factorization of 50344 and 50358. After we will calculate the factors of 50344 and 50358 and find the biggest common factor number .

Step-1: Prime Factorization of 50344

Prime factors of 50344 are 2, 7, 29, 31. Prime factorization of 50344 in exponential form is:

50344 = 2³ × 7¹ × 29¹ × 31¹

Step-2: Prime Factorization of 50358

Prime factors of 50358 are 2, 3, 7, 11, 109. Prime factorization of 50358 in exponential form is:

50358 = 2¹ × 3¹ × 7¹ × 11¹ × 109¹

Step-3: Factors of 50344

List of positive integer factors of 50344 that divides 50344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 31, 56, 58, 62, 116, 124, 203, 217, 232, 248, 406, 434, 812, 868, 899, 1624, 1736, 1798, 3596, 6293, 7192, 12586, 25172

Step-4: Factors of 50358

List of positive integer factors of 50358 that divides 50344 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 109, 154, 218, 231, 327, 462, 654, 763, 1199, 1526, 2289, 2398, 3597, 4578, 7194, 8393, 16786, 25179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50344 and 50358. The biggest common factor number is the GCF number.
So the greatest common factor 50344 and 50358 is 14.

Also check out the Least Common Multiple of 50344 and 50358