What is the Greatest Common Factor of 5980 and 5993?

Greatest common factor (GCF) of 5980 and 5993 is 13.

GCF(5980,5993) = 13

We will now calculate the prime factors of 5980 and 5993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5980 and 5993.

How to find the GCF of 5980 and 5993?

We will first find the prime factorization of 5980 and 5993. After we will calculate the factors of 5980 and 5993 and find the biggest common factor number .

Step-1: Prime Factorization of 5980

Prime factors of 5980 are 2, 5, 13, 23. Prime factorization of 5980 in exponential form is:

5980 = 2² × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 5993

Prime factors of 5993 are 13, 461. Prime factorization of 5993 in exponential form is:

5993 = 13¹ × 461¹

Step-3: Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990

Step-4: Factors of 5993

List of positive integer factors of 5993 that divides 5980 without a remainder.

1, 13, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5980 and 5993. The biggest common factor number is the GCF number.
So the greatest common factor 5980 and 5993 is 13.

Also check out the Least Common Multiple of 5980 and 5993