What is the Greatest Common Factor of 50976 and 50991?

Greatest common factor (GCF) of 50976 and 50991 is 3.

GCF(50976,50991) = 3

We will now calculate the prime factors of 50976 and 50991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50976 and 50991.

How to find the GCF of 50976 and 50991?

We will first find the prime factorization of 50976 and 50991. After we will calculate the factors of 50976 and 50991 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 50991

Prime factors of 50991 are 3, 23, 739. Prime factorization of 50991 in exponential form is:

50991 = 3¹ × 23¹ × 739¹

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 50991

List of positive integer factors of 50991 that divides 50976 without a remainder.

1, 3, 23, 69, 739, 2217, 16997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50976 and 50991. The biggest common factor number is the GCF number.
So the greatest common factor 50976 and 50991 is 3.

Also check out the Least Common Multiple of 50976 and 50991