What is the Greatest Common Factor of 25185 and 25191?

Greatest common factor (GCF) of 25185 and 25191 is 3.

GCF(25185,25191) = 3

We will now calculate the prime factors of 25185 and 25191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25185 and 25191.

How to find the GCF of 25185 and 25191?

We will first find the prime factorization of 25185 and 25191. After we will calculate the factors of 25185 and 25191 and find the biggest common factor number .

Step-1: Prime Factorization of 25185

Prime factors of 25185 are 3, 5, 23, 73. Prime factorization of 25185 in exponential form is:

25185 = 3¹ × 5¹ × 23¹ × 73¹

Step-2: Prime Factorization of 25191

Prime factors of 25191 are 3, 311. Prime factorization of 25191 in exponential form is:

25191 = 3⁴ × 311¹

Step-3: Factors of 25185

List of positive integer factors of 25185 that divides 25185 without a remainder.

1, 3, 5, 15, 23, 69, 73, 115, 219, 345, 365, 1095, 1679, 5037, 8395

Step-4: Factors of 25191

List of positive integer factors of 25191 that divides 25185 without a remainder.

1, 3, 9, 27, 81, 311, 933, 2799, 8397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25185 and 25191. The biggest common factor number is the GCF number.
So the greatest common factor 25185 and 25191 is 3.

Also check out the Least Common Multiple of 25185 and 25191