What is the Greatest Common Factor of 5925 and 5943?

Greatest common factor (GCF) of 5925 and 5943 is 3.

GCF(5925,5943) = 3

We will now calculate the prime factors of 5925 and 5943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5925 and 5943.

How to find the GCF of 5925 and 5943?

We will first find the prime factorization of 5925 and 5943. After we will calculate the factors of 5925 and 5943 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 5943

Prime factors of 5943 are 3, 7, 283. Prime factorization of 5943 in exponential form is:

5943 = 3¹ × 7¹ × 283¹

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 5943

List of positive integer factors of 5943 that divides 5925 without a remainder.

1, 3, 7, 21, 283, 849, 1981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5925 and 5943. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5943 is 3.

Also check out the Least Common Multiple of 5925 and 5943