What is the Greatest Common Factor of 5946 and 5952?

Greatest common factor (GCF) of 5946 and 5952 is 6.

GCF(5946,5952) = 6

We will now calculate the prime factors of 5946 and 5952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5946 and 5952.

How to find the GCF of 5946 and 5952?

We will first find the prime factorization of 5946 and 5952. After we will calculate the factors of 5946 and 5952 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 5952

Prime factors of 5952 are 2, 3, 31. Prime factorization of 5952 in exponential form is:

5952 = 2⁶ × 3¹ × 31¹

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 5952

List of positive integer factors of 5952 that divides 5946 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5946 and 5952. The biggest common factor number is the GCF number.
So the greatest common factor 5946 and 5952 is 6.

Also check out the Least Common Multiple of 5946 and 5952