What is the Greatest Common Factor of 50964 and 50976?

Greatest common factor (GCF) of 50964 and 50976 is 12.

GCF(50964,50976) = 12

We will now calculate the prime factors of 50964 and 50976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50964 and 50976.

How to find the GCF of 50964 and 50976?

We will first find the prime factorization of 50964 and 50976. After we will calculate the factors of 50964 and 50976 and find the biggest common factor number .

Step-1: Prime Factorization of 50964

Prime factors of 50964 are 2, 3, 31, 137. Prime factorization of 50964 in exponential form is:

50964 = 2² × 3¹ × 31¹ × 137¹

Step-2: 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-3: Factors of 50964

List of positive integer factors of 50964 that divides 50964 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 137, 186, 274, 372, 411, 548, 822, 1644, 4247, 8494, 12741, 16988, 25482

Step-4: Factors of 50976

List of positive integer factors of 50976 that divides 50964 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50964 and 50976. The biggest common factor number is the GCF number.
So the greatest common factor 50964 and 50976 is 12.

Also check out the Least Common Multiple of 50964 and 50976