What is the Greatest Common Factor of 25554 and 25563?

Greatest common factor (GCF) of 25554 and 25563 is 3.

GCF(25554,25563) = 3

We will now calculate the prime factors of 25554 and 25563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25554 and 25563.

How to find the GCF of 25554 and 25563?

We will first find the prime factorization of 25554 and 25563. After we will calculate the factors of 25554 and 25563 and find the biggest common factor number .

Step-1: Prime Factorization of 25554

Prime factors of 25554 are 2, 3, 4259. Prime factorization of 25554 in exponential form is:

25554 = 2¹ × 3¹ × 4259¹

Step-2: Prime Factorization of 25563

Prime factors of 25563 are 3, 8521. Prime factorization of 25563 in exponential form is:

25563 = 3¹ × 8521¹

Step-3: Factors of 25554

List of positive integer factors of 25554 that divides 25554 without a remainder.

1, 2, 3, 6, 4259, 8518, 12777

Step-4: Factors of 25563

List of positive integer factors of 25563 that divides 25554 without a remainder.

1, 3, 8521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25554 and 25563. The biggest common factor number is the GCF number.
So the greatest common factor 25554 and 25563 is 3.

Also check out the Least Common Multiple of 25554 and 25563