What is the Greatest Common Factor of 25540 and 25545?

Greatest common factor (GCF) of 25540 and 25545 is 5.

GCF(25540,25545) = 5

We will now calculate the prime factors of 25540 and 25545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25540 and 25545.

How to find the GCF of 25540 and 25545?

We will first find the prime factorization of 25540 and 25545. After we will calculate the factors of 25540 and 25545 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 25545

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

25545 = 3¹ × 5¹ × 13¹ × 131¹

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 25545

List of positive integer factors of 25545 that divides 25540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25540 and 25545. The biggest common factor number is the GCF number.
So the greatest common factor 25540 and 25545 is 5.

Also check out the Least Common Multiple of 25540 and 25545