What is the Greatest Common Factor of 5984 and 5999?

Greatest common factor (GCF) of 5984 and 5999 is 1.

GCF(5984,5999) = 1

We will now calculate the prime factors of 5984 and 5999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5984 and 5999.

How to find the GCF of 5984 and 5999?

We will first find the prime factorization of 5984 and 5999. After we will calculate the factors of 5984 and 5999 and find the biggest common factor number .

Step-1: Prime Factorization of 5984

Prime factors of 5984 are 2, 11, 17. Prime factorization of 5984 in exponential form is:

5984 = 2⁵ × 11¹ × 17¹

Step-2: Prime Factorization of 5999

Prime factors of 5999 are 7, 857. Prime factorization of 5999 in exponential form is:

5999 = 7¹ × 857¹

Step-3: Factors of 5984

List of positive integer factors of 5984 that divides 5984 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992

Step-4: Factors of 5999

List of positive integer factors of 5999 that divides 5984 without a remainder.

1, 7, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5984 and 5999. The biggest common factor number is the GCF number.
So the greatest common factor 5984 and 5999 is 1.

Also check out the Least Common Multiple of 5984 and 5999