What is the Greatest Common Factor of 50328 and 50338?

Greatest common factor (GCF) of 50328 and 50338 is 2.

GCF(50328,50338) = 2

We will now calculate the prime factors of 50328 and 50338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50328 and 50338.

How to find the GCF of 50328 and 50338?

We will first find the prime factorization of 50328 and 50338. After we will calculate the factors of 50328 and 50338 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 50338

Prime factors of 50338 are 2, 25169. Prime factorization of 50338 in exponential form is:

50338 = 2¹ × 25169¹

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 50338

List of positive integer factors of 50338 that divides 50328 without a remainder.

1, 2, 25169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50328 and 50338. The biggest common factor number is the GCF number.
So the greatest common factor 50328 and 50338 is 2.

Also check out the Least Common Multiple of 50328 and 50338