What is the Greatest Common Factor of 25545 and 25565?

Greatest common factor (GCF) of 25545 and 25565 is 5.

GCF(25545,25565) = 5

We will now calculate the prime factors of 25545 and 25565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25545 and 25565.

How to find the GCF of 25545 and 25565?

We will first find the prime factorization of 25545 and 25565. After we will calculate the factors of 25545 and 25565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25565

Prime factors of 25565 are 5, 5113. Prime factorization of 25565 in exponential form is:

25565 = 5¹ × 5113¹

Step-3: Factors of 25545

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

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

Step-4: Factors of 25565

List of positive integer factors of 25565 that divides 25545 without a remainder.

1, 5, 5113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25545 and 25565. The biggest common factor number is the GCF number.
So the greatest common factor 25545 and 25565 is 5.

Also check out the Least Common Multiple of 25545 and 25565