What is the Greatest Common Factor of 50976 and 50993?

Greatest common factor (GCF) of 50976 and 50993 is 1.

GCF(50976,50993) = 1

We will now calculate the prime factors of 50976 and 50993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50976 and 50993.

How to find the GCF of 50976 and 50993?

We will first find the prime factorization of 50976 and 50993. After we will calculate the factors of 50976 and 50993 and find the biggest common factor number .

Step-1: Prime Factorization of 50976

Prime factors of 50976 are 2, 3, 59. Prime factorization of 50976 in exponential form is:

50976 = 2⁵ × 3³ × 59¹

Step-2: Prime Factorization of 50993

Prime factors of 50993 are 50993. Prime factorization of 50993 in exponential form is:

50993 = 50993¹

Step-3: Factors of 50976

List of positive integer factors of 50976 that divides 50976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 59, 72, 96, 108, 118, 144, 177, 216, 236, 288, 354, 432, 472, 531, 708, 864, 944, 1062, 1416, 1593, 1888, 2124, 2832, 3186, 4248, 5664, 6372, 8496, 12744, 16992, 25488

Step-4: Factors of 50993

List of positive integer factors of 50993 that divides 50976 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50976 and 50993. The biggest common factor number is the GCF number.
So the greatest common factor 50976 and 50993 is 1.

Also check out the Least Common Multiple of 50976 and 50993