What is the Greatest Common Factor of 5988 and 5995?

Greatest common factor (GCF) of 5988 and 5995 is 1.

GCF(5988,5995) = 1

We will now calculate the prime factors of 5988 and 5995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5988 and 5995.

How to find the GCF of 5988 and 5995?

We will first find the prime factorization of 5988 and 5995. After we will calculate the factors of 5988 and 5995 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5995

Prime factors of 5995 are 5, 11, 109. Prime factorization of 5995 in exponential form is:

5995 = 5¹ × 11¹ × 109¹

Step-3: Factors of 5988

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

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

Step-4: Factors of 5995

List of positive integer factors of 5995 that divides 5988 without a remainder.

1, 5, 11, 55, 109, 545, 1199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5988 and 5995. The biggest common factor number is the GCF number.
So the greatest common factor 5988 and 5995 is 1.

Also check out the Least Common Multiple of 5988 and 5995