What is the Greatest Common Factor of 5946 and 5954?

Greatest common factor (GCF) of 5946 and 5954 is 2.

GCF(5946,5954) = 2

We will now calculate the prime factors of 5946 and 5954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5946 and 5954.

How to find the GCF of 5946 and 5954?

We will first find the prime factorization of 5946 and 5954. After we will calculate the factors of 5946 and 5954 and find the biggest common factor number .

Step-1: Prime Factorization of 5946

Prime factors of 5946 are 2, 3, 991. Prime factorization of 5946 in exponential form is:

5946 = 2¹ × 3¹ × 991¹

Step-2: 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-3: Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1, 2, 3, 6, 991, 1982, 2973

Step-4: Factors of 5954

List of positive integer factors of 5954 that divides 5946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5946 and 5954. The biggest common factor number is the GCF number.
So the greatest common factor 5946 and 5954 is 2.

Also check out the Least Common Multiple of 5946 and 5954