What is the Greatest Common Factor of 51984 and 51990?

Greatest common factor (GCF) of 51984 and 51990 is 6.

GCF(51984,51990) = 6

We will now calculate the prime factors of 51984 and 51990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51984 and 51990.

How to find the GCF of 51984 and 51990?

We will first find the prime factorization of 51984 and 51990. After we will calculate the factors of 51984 and 51990 and find the biggest common factor number .

Step-1: Prime Factorization of 51984

Prime factors of 51984 are 2, 3, 19. Prime factorization of 51984 in exponential form is:

51984 = 2⁴ × 3² × 19²

Step-2: Prime Factorization of 51990

Prime factors of 51990 are 2, 3, 5, 1733. Prime factorization of 51990 in exponential form is:

51990 = 2¹ × 3¹ × 5¹ × 1733¹

Step-3: Factors of 51984

List of positive integer factors of 51984 that divides 51984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 361, 456, 684, 722, 912, 1083, 1368, 1444, 2166, 2736, 2888, 3249, 4332, 5776, 6498, 8664, 12996, 17328, 25992

Step-4: Factors of 51990

List of positive integer factors of 51990 that divides 51984 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1733, 3466, 5199, 8665, 10398, 17330, 25995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51984 and 51990. The biggest common factor number is the GCF number.
So the greatest common factor 51984 and 51990 is 6.

Also check out the Least Common Multiple of 51984 and 51990