What is the Greatest Common Factor of 5967 and 5976?

Greatest common factor (GCF) of 5967 and 5976 is 9.

GCF(5967,5976) = 9

We will now calculate the prime factors of 5967 and 5976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5967 and 5976.

How to find the GCF of 5967 and 5976?

We will first find the prime factorization of 5967 and 5976. After we will calculate the factors of 5967 and 5976 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 5976

Prime factors of 5976 are 2, 3, 83. Prime factorization of 5976 in exponential form is:

5976 = 2³ × 3² × 83¹

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 5976

List of positive integer factors of 5976 that divides 5967 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5967 and 5976. The biggest common factor number is the GCF number.
So the greatest common factor 5967 and 5976 is 9.

Also check out the Least Common Multiple of 5967 and 5976