What is the Greatest Common Factor of 25809 and 25827?

Greatest common factor (GCF) of 25809 and 25827 is 3.

GCF(25809,25827) = 3

We will now calculate the prime factors of 25809 and 25827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25809 and 25827.

How to find the GCF of 25809 and 25827?

We will first find the prime factorization of 25809 and 25827. After we will calculate the factors of 25809 and 25827 and find the biggest common factor number .

Step-1: Prime Factorization of 25809

Prime factors of 25809 are 3, 7, 1229. Prime factorization of 25809 in exponential form is:

25809 = 3¹ × 7¹ × 1229¹

Step-2: Prime Factorization of 25827

Prime factors of 25827 are 3, 8609. Prime factorization of 25827 in exponential form is:

25827 = 3¹ × 8609¹

Step-3: Factors of 25809

List of positive integer factors of 25809 that divides 25809 without a remainder.

1, 3, 7, 21, 1229, 3687, 8603

Step-4: Factors of 25827

List of positive integer factors of 25827 that divides 25809 without a remainder.

1, 3, 8609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25809 and 25827. The biggest common factor number is the GCF number.
So the greatest common factor 25809 and 25827 is 3.

Also check out the Least Common Multiple of 25809 and 25827