What is the Greatest Common Factor of 5925 and 5930?

Greatest common factor (GCF) of 5925 and 5930 is 5.

GCF(5925,5930) = 5

We will now calculate the prime factors of 5925 and 5930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5925 and 5930.

How to find the GCF of 5925 and 5930?

We will first find the prime factorization of 5925 and 5930. After we will calculate the factors of 5925 and 5930 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 5930

Prime factors of 5930 are 2, 5, 593. Prime factorization of 5930 in exponential form is:

5930 = 2¹ × 5¹ × 593¹

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 5930

List of positive integer factors of 5930 that divides 5925 without a remainder.

1, 2, 5, 10, 593, 1186, 2965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5925 and 5930. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5930 is 5.

Also check out the Least Common Multiple of 5925 and 5930