What is the Greatest Common Factor of 5954 and 5967?

Greatest common factor (GCF) of 5954 and 5967 is 13.

GCF(5954,5967) = 13

We will now calculate the prime factors of 5954 and 5967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5954 and 5967.

How to find the GCF of 5954 and 5967?

We will first find the prime factorization of 5954 and 5967. After we will calculate the factors of 5954 and 5967 and find the biggest common factor number .

Step-1: Prime Factorization of 5954

Prime factors of 5954 are 2, 13, 229. Prime factorization of 5954 in exponential form is:

5954 = 2¹ × 13¹ × 229¹

Step-2: 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-3: Factors of 5954

List of positive integer factors of 5954 that divides 5954 without a remainder.

1, 2, 13, 26, 229, 458, 2977

Step-4: Factors of 5967

List of positive integer factors of 5967 that divides 5954 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5954 and 5967. The biggest common factor number is the GCF number.
So the greatest common factor 5954 and 5967 is 13.

Also check out the Least Common Multiple of 5954 and 5967