What is the Greatest Common Factor of 50964 and 50984?

Greatest common factor (GCF) of 50964 and 50984 is 4.

GCF(50964,50984) = 4

We will now calculate the prime factors of 50964 and 50984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50964 and 50984.

How to find the GCF of 50964 and 50984?

We will first find the prime factorization of 50964 and 50984. After we will calculate the factors of 50964 and 50984 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 50984

Prime factors of 50984 are 2, 6373. Prime factorization of 50984 in exponential form is:

50984 = 2³ × 6373¹

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 50984

List of positive integer factors of 50984 that divides 50964 without a remainder.

1, 2, 4, 8, 6373, 12746, 25492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50964 and 50984. The biggest common factor number is the GCF number.
So the greatest common factor 50964 and 50984 is 4.

Also check out the Least Common Multiple of 50964 and 50984