What is the Greatest Common Factor of 50330 and 50344?

Greatest common factor (GCF) of 50330 and 50344 is 14.

GCF(50330,50344) = 14

We will now calculate the prime factors of 50330 and 50344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50330 and 50344.

How to find the GCF of 50330 and 50344?

We will first find the prime factorization of 50330 and 50344. After we will calculate the factors of 50330 and 50344 and find the biggest common factor number .

Step-1: Prime Factorization of 50330

Prime factors of 50330 are 2, 5, 7, 719. Prime factorization of 50330 in exponential form is:

50330 = 2¹ × 5¹ × 7¹ × 719¹

Step-2: 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-3: Factors of 50330

List of positive integer factors of 50330 that divides 50330 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 719, 1438, 3595, 5033, 7190, 10066, 25165

Step-4: Factors of 50344

List of positive integer factors of 50344 that divides 50330 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50330 and 50344. The biggest common factor number is the GCF number.
So the greatest common factor 50330 and 50344 is 14.

Also check out the Least Common Multiple of 50330 and 50344