What is the Greatest Common Factor of 5925 and 5944?

Greatest common factor (GCF) of 5925 and 5944 is 1.

GCF(5925,5944) = 1

We will now calculate the prime factors of 5925 and 5944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5925 and 5944.

How to find the GCF of 5925 and 5944?

We will first find the prime factorization of 5925 and 5944. After we will calculate the factors of 5925 and 5944 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 5944

Prime factors of 5944 are 2, 743. Prime factorization of 5944 in exponential form is:

5944 = 2³ × 743¹

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 5944

List of positive integer factors of 5944 that divides 5925 without a remainder.

1, 2, 4, 8, 743, 1486, 2972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5925 and 5944. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5944 is 1.

Also check out the Least Common Multiple of 5925 and 5944