What is the Greatest Common Factor of 50323 and 50328?

Greatest common factor (GCF) of 50323 and 50328 is 1.

GCF(50323,50328) = 1

We will now calculate the prime factors of 50323 and 50328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50323 and 50328.

How to find the GCF of 50323 and 50328?

We will first find the prime factorization of 50323 and 50328. After we will calculate the factors of 50323 and 50328 and find the biggest common factor number .

Step-1: Prime Factorization of 50323

Prime factors of 50323 are 7, 13, 79. Prime factorization of 50323 in exponential form is:

50323 = 7² × 13¹ × 79¹

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 50323

List of positive integer factors of 50323 that divides 50323 without a remainder.

1, 7, 13, 49, 79, 91, 553, 637, 1027, 3871, 7189

Step-4: Factors of 50328

List of positive integer factors of 50328 that divides 50323 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 50323 and 50328. The biggest common factor number is the GCF number.
So the greatest common factor 50323 and 50328 is 1.

Also check out the Least Common Multiple of 50323 and 50328