What is the Greatest Common Factor of 25689 and 25695?

Greatest common factor (GCF) of 25689 and 25695 is 3.

GCF(25689,25695) = 3

We will now calculate the prime factors of 25689 and 25695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25689 and 25695.

How to find the GCF of 25689 and 25695?

We will first find the prime factorization of 25689 and 25695. After we will calculate the factors of 25689 and 25695 and find the biggest common factor number .

Step-1: Prime Factorization of 25689

Prime factors of 25689 are 3, 8563. Prime factorization of 25689 in exponential form is:

25689 = 3¹ × 8563¹

Step-2: Prime Factorization of 25695

Prime factors of 25695 are 3, 5, 571. Prime factorization of 25695 in exponential form is:

25695 = 3² × 5¹ × 571¹

Step-3: Factors of 25689

List of positive integer factors of 25689 that divides 25689 without a remainder.

1, 3, 8563

Step-4: Factors of 25695

List of positive integer factors of 25695 that divides 25689 without a remainder.

1, 3, 5, 9, 15, 45, 571, 1713, 2855, 5139, 8565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25689 and 25695. The biggest common factor number is the GCF number.
So the greatest common factor 25689 and 25695 is 3.

Also check out the Least Common Multiple of 25689 and 25695