What is the Greatest Common Factor of 50328 and 50342?

Greatest common factor (GCF) of 50328 and 50342 is 2.

GCF(50328,50342) = 2

We will now calculate the prime factors of 50328 and 50342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50328 and 50342.

How to find the GCF of 50328 and 50342?

We will first find the prime factorization of 50328 and 50342. After we will calculate the factors of 50328 and 50342 and find the biggest common factor number .

Step-1: Prime Factorization of 50328

Prime factors of 50328 are 2, 3, 233. Prime factorization of 50328 in exponential form is:

50328 = 2³ × 3³ × 233¹

Step-2: Prime Factorization of 50342

Prime factors of 50342 are 2, 25171. Prime factorization of 50342 in exponential form is:

50342 = 2¹ × 25171¹

Step-3: Factors of 50328

List of positive integer factors of 50328 that divides 50328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 4194, 5592, 6291, 8388, 12582, 16776, 25164

Step-4: Factors of 50342

List of positive integer factors of 50342 that divides 50328 without a remainder.

1, 2, 25171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50328 and 50342. The biggest common factor number is the GCF number.
So the greatest common factor 50328 and 50342 is 2.

Also check out the Least Common Multiple of 50328 and 50342