What is the Greatest Common Factor of 50976 and 50994?

Greatest common factor (GCF) of 50976 and 50994 is 18.

GCF(50976,50994) = 18

We will now calculate the prime factors of 50976 and 50994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50976 and 50994.

How to find the GCF of 50976 and 50994?

We will first find the prime factorization of 50976 and 50994. After we will calculate the factors of 50976 and 50994 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 50994

Prime factors of 50994 are 2, 3, 2833. Prime factorization of 50994 in exponential form is:

50994 = 2¹ × 3² × 2833¹

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 50994

List of positive integer factors of 50994 that divides 50976 without a remainder.

1, 2, 3, 6, 9, 18, 2833, 5666, 8499, 16998, 25497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50976 and 50994. The biggest common factor number is the GCF number.
So the greatest common factor 50976 and 50994 is 18.

Also check out the Least Common Multiple of 50976 and 50994