What is the Greatest Common Factor of 5967 and 5971?

Greatest common factor (GCF) of 5967 and 5971 is 1.

GCF(5967,5971) = 1

We will now calculate the prime factors of 5967 and 5971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5967 and 5971.

How to find the GCF of 5967 and 5971?

We will first find the prime factorization of 5967 and 5971. After we will calculate the factors of 5967 and 5971 and find the biggest common factor number .

Step-1: Prime Factorization of 5967

Prime factors of 5967 are 3, 13, 17. Prime factorization of 5967 in exponential form is:

5967 = 3³ × 13¹ × 17¹

Step-2: Prime Factorization of 5971

Prime factors of 5971 are 7, 853. Prime factorization of 5971 in exponential form is:

5971 = 7¹ × 853¹

Step-3: Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989

Step-4: Factors of 5971

List of positive integer factors of 5971 that divides 5967 without a remainder.

1, 7, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5967 and 5971. The biggest common factor number is the GCF number.
So the greatest common factor 5967 and 5971 is 1.

Also check out the Least Common Multiple of 5967 and 5971