What is the Greatest Common Factor of 25563 and 25578?

Greatest common factor (GCF) of 25563 and 25578 is 3.

GCF(25563,25578) = 3

We will now calculate the prime factors of 25563 and 25578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25563 and 25578.

How to find the GCF of 25563 and 25578?

We will first find the prime factorization of 25563 and 25578. After we will calculate the factors of 25563 and 25578 and find the biggest common factor number .

Step-1: Prime Factorization of 25563

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

25563 = 3¹ × 8521¹

Step-2: Prime Factorization of 25578

Prime factors of 25578 are 2, 3, 7, 29. Prime factorization of 25578 in exponential form is:

25578 = 2¹ × 3² × 7² × 29¹

Step-3: Factors of 25563

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

1, 3, 8521

Step-4: Factors of 25578

List of positive integer factors of 25578 that divides 25563 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 49, 58, 63, 87, 98, 126, 147, 174, 203, 261, 294, 406, 441, 522, 609, 882, 1218, 1421, 1827, 2842, 3654, 4263, 8526, 12789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25563 and 25578. The biggest common factor number is the GCF number.
So the greatest common factor 25563 and 25578 is 3.

Also check out the Least Common Multiple of 25563 and 25578