What is the Greatest Common Factor of 25809 and 25821?

Greatest common factor (GCF) of 25809 and 25821 is 3.

GCF(25809,25821) = 3

We will now calculate the prime factors of 25809 and 25821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25809 and 25821.

How to find the GCF of 25809 and 25821?

We will first find the prime factorization of 25809 and 25821. After we will calculate the factors of 25809 and 25821 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 25821

Prime factors of 25821 are 3, 19, 151. Prime factorization of 25821 in exponential form is:

25821 = 3² × 19¹ × 151¹

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 25821

List of positive integer factors of 25821 that divides 25809 without a remainder.

1, 3, 9, 19, 57, 151, 171, 453, 1359, 2869, 8607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25809 and 25821. The biggest common factor number is the GCF number.
So the greatest common factor 25809 and 25821 is 3.

Also check out the Least Common Multiple of 25809 and 25821