What is the Greatest Common Factor of 25635 and 25644?

Greatest common factor (GCF) of 25635 and 25644 is 3.

GCF(25635,25644) = 3

We will now calculate the prime factors of 25635 and 25644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25635 and 25644.

How to find the GCF of 25635 and 25644?

We will first find the prime factorization of 25635 and 25644. After we will calculate the factors of 25635 and 25644 and find the biggest common factor number .

Step-1: Prime Factorization of 25635

Prime factors of 25635 are 3, 5, 1709. Prime factorization of 25635 in exponential form is:

25635 = 3¹ × 5¹ × 1709¹

Step-2: Prime Factorization of 25644

Prime factors of 25644 are 2, 3, 2137. Prime factorization of 25644 in exponential form is:

25644 = 2² × 3¹ × 2137¹

Step-3: Factors of 25635

List of positive integer factors of 25635 that divides 25635 without a remainder.

1, 3, 5, 15, 1709, 5127, 8545

Step-4: Factors of 25644

List of positive integer factors of 25644 that divides 25635 without a remainder.

1, 2, 3, 4, 6, 12, 2137, 4274, 6411, 8548, 12822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25635 and 25644. The biggest common factor number is the GCF number.
So the greatest common factor 25635 and 25644 is 3.

Also check out the Least Common Multiple of 25635 and 25644