What is the Greatest Common Factor of 5925 and 5934?

Greatest common factor (GCF) of 5925 and 5934 is 3.

GCF(5925,5934) = 3

We will now calculate the prime factors of 5925 and 5934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5925 and 5934.

How to find the GCF of 5925 and 5934?

We will first find the prime factorization of 5925 and 5934. After we will calculate the factors of 5925 and 5934 and find the biggest common factor number .

Step-1: Prime Factorization of 5925

Prime factors of 5925 are 3, 5, 79. Prime factorization of 5925 in exponential form is:

5925 = 3¹ × 5² × 79¹

Step-2: 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-3: Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975

Step-4: Factors of 5934

List of positive integer factors of 5934 that divides 5925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5925 and 5934. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5934 is 3.

Also check out the Least Common Multiple of 5925 and 5934