What is the Greatest Common Factor of 25635 and 25655?

Greatest common factor (GCF) of 25635 and 25655 is 5.

GCF(25635,25655) = 5

We will now calculate the prime factors of 25635 and 25655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25635 and 25655.

How to find the GCF of 25635 and 25655?

We will first find the prime factorization of 25635 and 25655. After we will calculate the factors of 25635 and 25655 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 25655

Prime factors of 25655 are 5, 7, 733. Prime factorization of 25655 in exponential form is:

25655 = 5¹ × 7¹ × 733¹

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 25655

List of positive integer factors of 25655 that divides 25635 without a remainder.

1, 5, 7, 35, 733, 3665, 5131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25635 and 25655. The biggest common factor number is the GCF number.
So the greatest common factor 25635 and 25655 is 5.

Also check out the Least Common Multiple of 25635 and 25655