What is the Greatest Common Factor of 5976 and 5988?

Greatest common factor (GCF) of 5976 and 5988 is 12.

GCF(5976,5988) = 12

We will now calculate the prime factors of 5976 and 5988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5976 and 5988.

How to find the GCF of 5976 and 5988?

We will first find the prime factorization of 5976 and 5988. After we will calculate the factors of 5976 and 5988 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 5988

Prime factors of 5988 are 2, 3, 499. Prime factorization of 5988 in exponential form is:

5988 = 2² × 3¹ × 499¹

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 5988

List of positive integer factors of 5988 that divides 5976 without a remainder.

1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5976 and 5988. The biggest common factor number is the GCF number.
So the greatest common factor 5976 and 5988 is 12.

Also check out the Least Common Multiple of 5976 and 5988