What is the Greatest Common Factor of 5970 and 5990?

Greatest common factor (GCF) of 5970 and 5990 is 10.

GCF(5970,5990) = 10

We will now calculate the prime factors of 5970 and 5990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5970 and 5990.

How to find the GCF of 5970 and 5990?

We will first find the prime factorization of 5970 and 5990. After we will calculate the factors of 5970 and 5990 and find the biggest common factor number .

Step-1: Prime Factorization of 5970

Prime factors of 5970 are 2, 3, 5, 199. Prime factorization of 5970 in exponential form is:

5970 = 2¹ × 3¹ × 5¹ × 199¹

Step-2: Prime Factorization of 5990

Prime factors of 5990 are 2, 5, 599. Prime factorization of 5990 in exponential form is:

5990 = 2¹ × 5¹ × 599¹

Step-3: Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985

Step-4: Factors of 5990

List of positive integer factors of 5990 that divides 5970 without a remainder.

1, 2, 5, 10, 599, 1198, 2995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5970 and 5990. The biggest common factor number is the GCF number.
So the greatest common factor 5970 and 5990 is 10.

Also check out the Least Common Multiple of 5970 and 5990