What is the Greatest Common Factor of 50312 and 50328?

Greatest common factor (GCF) of 50312 and 50328 is 8.

GCF(50312,50328) = 8

We will now calculate the prime factors of 50312 and 50328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50312 and 50328.

How to find the GCF of 50312 and 50328?

We will first find the prime factorization of 50312 and 50328. After we will calculate the factors of 50312 and 50328 and find the biggest common factor number .

Step-1: Prime Factorization of 50312

Prime factors of 50312 are 2, 19, 331. Prime factorization of 50312 in exponential form is:

50312 = 2³ × 19¹ × 331¹

Step-2: 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-3: Factors of 50312

List of positive integer factors of 50312 that divides 50312 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 331, 662, 1324, 2648, 6289, 12578, 25156

Step-4: Factors of 50328

List of positive integer factors of 50328 that divides 50312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50312 and 50328. The biggest common factor number is the GCF number.
So the greatest common factor 50312 and 50328 is 8.

Also check out the Least Common Multiple of 50312 and 50328