What is the Greatest Common Factor of 50358 and 50372?

Greatest common factor (GCF) of 50358 and 50372 is 14.

GCF(50358,50372) = 14

We will now calculate the prime factors of 50358 and 50372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50358 and 50372.

How to find the GCF of 50358 and 50372?

We will first find the prime factorization of 50358 and 50372. After we will calculate the factors of 50358 and 50372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50372

Prime factors of 50372 are 2, 7, 257. Prime factorization of 50372 in exponential form is:

50372 = 2² × 7² × 257¹

Step-3: Factors of 50358

List of positive integer factors of 50358 that divides 50358 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

Step-4: Factors of 50372

List of positive integer factors of 50372 that divides 50358 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 257, 514, 1028, 1799, 3598, 7196, 12593, 25186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50358 and 50372. The biggest common factor number is the GCF number.
So the greatest common factor 50358 and 50372 is 14.

Also check out the Least Common Multiple of 50358 and 50372