What is the Greatest Common Factor of 51979 and 51984?

Greatest common factor (GCF) of 51979 and 51984 is 1.

GCF(51979,51984) = 1

We will now calculate the prime factors of 51979 and 51984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51979 and 51984.

How to find the GCF of 51979 and 51984?

We will first find the prime factorization of 51979 and 51984. After we will calculate the factors of 51979 and 51984 and find the biggest common factor number .

Step-1: Prime Factorization of 51979

Prime factors of 51979 are 59, 881. Prime factorization of 51979 in exponential form is:

51979 = 59¹ × 881¹

Step-2: 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-3: Factors of 51979

List of positive integer factors of 51979 that divides 51979 without a remainder.

1, 59, 881

Step-4: Factors of 51984

List of positive integer factors of 51984 that divides 51979 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51979 and 51984. The biggest common factor number is the GCF number.
So the greatest common factor 51979 and 51984 is 1.

Also check out the Least Common Multiple of 51979 and 51984