What is the Greatest Common Factor of 5946 and 5964?

Greatest common factor (GCF) of 5946 and 5964 is 6.

GCF(5946,5964) = 6

We will now calculate the prime factors of 5946 and 5964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5946 and 5964.

How to find the GCF of 5946 and 5964?

We will first find the prime factorization of 5946 and 5964. After we will calculate the factors of 5946 and 5964 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 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 2² × 3¹ × 7¹ × 71¹

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 5964

List of positive integer factors of 5964 that divides 5946 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5946 and 5964. The biggest common factor number is the GCF number.
So the greatest common factor 5946 and 5964 is 6.

Also check out the Least Common Multiple of 5946 and 5964