What is the Greatest Common Factor of 25540 and 25555?

Greatest common factor (GCF) of 25540 and 25555 is 5.

GCF(25540,25555) = 5

We will now calculate the prime factors of 25540 and 25555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25540 and 25555.

How to find the GCF of 25540 and 25555?

We will first find the prime factorization of 25540 and 25555. After we will calculate the factors of 25540 and 25555 and find the biggest common factor number .

Step-1: Prime Factorization of 25540

Prime factors of 25540 are 2, 5, 1277. Prime factorization of 25540 in exponential form is:

25540 = 2² × 5¹ × 1277¹

Step-2: Prime Factorization of 25555

Prime factors of 25555 are 5, 19, 269. Prime factorization of 25555 in exponential form is:

25555 = 5¹ × 19¹ × 269¹

Step-3: Factors of 25540

List of positive integer factors of 25540 that divides 25540 without a remainder.

1, 2, 4, 5, 10, 20, 1277, 2554, 5108, 6385, 12770

Step-4: Factors of 25555

List of positive integer factors of 25555 that divides 25540 without a remainder.

1, 5, 19, 95, 269, 1345, 5111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25540 and 25555. The biggest common factor number is the GCF number.
So the greatest common factor 25540 and 25555 is 5.

Also check out the Least Common Multiple of 25540 and 25555