What is the Greatest Common Factor of 5934 and 5949?

Greatest common factor (GCF) of 5934 and 5949 is 3.

GCF(5934,5949) = 3

We will now calculate the prime factors of 5934 and 5949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5934 and 5949.

How to find the GCF of 5934 and 5949?

We will first find the prime factorization of 5934 and 5949. After we will calculate the factors of 5934 and 5949 and find the biggest common factor number .

Step-1: Prime Factorization of 5934

Prime factors of 5934 are 2, 3, 23, 43. Prime factorization of 5934 in exponential form is:

5934 = 2¹ × 3¹ × 23¹ × 43¹

Step-2: Prime Factorization of 5949

Prime factors of 5949 are 3, 661. Prime factorization of 5949 in exponential form is:

5949 = 3² × 661¹

Step-3: Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967

Step-4: Factors of 5949

List of positive integer factors of 5949 that divides 5934 without a remainder.

1, 3, 9, 661, 1983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5934 and 5949. The biggest common factor number is the GCF number.
So the greatest common factor 5934 and 5949 is 3.

Also check out the Least Common Multiple of 5934 and 5949