What is the Greatest Common Factor of 25545 and 25563?

Greatest common factor (GCF) of 25545 and 25563 is 3.

GCF(25545,25563) = 3

We will now calculate the prime factors of 25545 and 25563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25545 and 25563.

How to find the GCF of 25545 and 25563?

We will first find the prime factorization of 25545 and 25563. After we will calculate the factors of 25545 and 25563 and find the biggest common factor number .

Step-1: Prime Factorization of 25545

Prime factors of 25545 are 3, 5, 13, 131. Prime factorization of 25545 in exponential form is:

25545 = 3¹ × 5¹ × 13¹ × 131¹

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 25545

List of positive integer factors of 25545 that divides 25545 without a remainder.

1, 3, 5, 13, 15, 39, 65, 131, 195, 393, 655, 1703, 1965, 5109, 8515

Step-4: Factors of 25563

List of positive integer factors of 25563 that divides 25545 without a remainder.

1, 3, 8521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25545 and 25563. The biggest common factor number is the GCF number.
So the greatest common factor 25545 and 25563 is 3.

Also check out the Least Common Multiple of 25545 and 25563