What is the Greatest Common Factor of 5976 and 5984?

Greatest common factor (GCF) of 5976 and 5984 is 8.

GCF(5976,5984) = 8

We will now calculate the prime factors of 5976 and 5984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5976 and 5984.

How to find the GCF of 5976 and 5984?

We will first find the prime factorization of 5976 and 5984. After we will calculate the factors of 5976 and 5984 and find the biggest common factor number .

Step-1: Prime Factorization of 5976

Prime factors of 5976 are 2, 3, 83. Prime factorization of 5976 in exponential form is:

5976 = 2³ × 3² × 83¹

Step-2: 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-3: Factors of 5976

List of positive integer factors of 5976 that divides 5976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988

Step-4: Factors of 5984

List of positive integer factors of 5984 that divides 5976 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5976 and 5984. The biggest common factor number is the GCF number.
So the greatest common factor 5976 and 5984 is 8.

Also check out the Least Common Multiple of 5976 and 5984