What is the Greatest Common Factor of 5976 and 5994?

Greatest common factor (GCF) of 5976 and 5994 is 18.

GCF(5976,5994) = 18

We will now calculate the prime factors of 5976 and 5994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5976 and 5994.

How to find the GCF of 5976 and 5994?

We will first find the prime factorization of 5976 and 5994. After we will calculate the factors of 5976 and 5994 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 5994

Prime factors of 5994 are 2, 3, 37. Prime factorization of 5994 in exponential form is:

5994 = 2¹ × 3⁴ × 37¹

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 5994

List of positive integer factors of 5994 that divides 5976 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5976 and 5994. The biggest common factor number is the GCF number.
So the greatest common factor 5976 and 5994 is 18.

Also check out the Least Common Multiple of 5976 and 5994