What is the Greatest Common Factor of 5925 and 5933?

Greatest common factor (GCF) of 5925 and 5933 is 1.

GCF(5925,5933) = 1

We will now calculate the prime factors of 5925 and 5933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5925 and 5933.

How to find the GCF of 5925 and 5933?

We will first find the prime factorization of 5925 and 5933. After we will calculate the factors of 5925 and 5933 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 5933

Prime factors of 5933 are 17, 349. Prime factorization of 5933 in exponential form is:

5933 = 17¹ × 349¹

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 5933

List of positive integer factors of 5933 that divides 5925 without a remainder.

1, 17, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5925 and 5933. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5933 is 1.

Also check out the Least Common Multiple of 5925 and 5933