What is the Greatest Common Factor of 5913 and 5925?

Greatest common factor (GCF) of 5913 and 5925 is 3.

GCF(5913,5925) = 3

We will now calculate the prime factors of 5913 and 5925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5913 and 5925.

How to find the GCF of 5913 and 5925?

We will first find the prime factorization of 5913 and 5925. After we will calculate the factors of 5913 and 5925 and find the biggest common factor number .

Step-1: Prime Factorization of 5913

Prime factors of 5913 are 3, 73. Prime factorization of 5913 in exponential form is:

5913 = 3⁴ × 73¹

Step-2: 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-3: Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1, 3, 9, 27, 73, 81, 219, 657, 1971

Step-4: Factors of 5925

List of positive integer factors of 5925 that divides 5913 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5913 and 5925. The biggest common factor number is the GCF number.
So the greatest common factor 5913 and 5925 is 3.

Also check out the Least Common Multiple of 5913 and 5925