What is the Greatest Common Factor of 13545 and 13565?

Greatest common factor (GCF) of 13545 and 13565 is 5.

GCF(13545,13565) = 5

We will now calculate the prime factors of 13545 and 13565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13545 and 13565.

How to find the GCF of 13545 and 13565?

We will first find the prime factorization of 13545 and 13565. After we will calculate the factors of 13545 and 13565 and find the biggest common factor number .

Step-1: Prime Factorization of 13545

Prime factors of 13545 are 3, 5, 7, 43. Prime factorization of 13545 in exponential form is:

13545 = 3² × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 13565

Prime factors of 13565 are 5, 2713. Prime factorization of 13565 in exponential form is:

13565 = 5¹ × 2713¹

Step-3: Factors of 13545

List of positive integer factors of 13545 that divides 13545 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 43, 45, 63, 105, 129, 215, 301, 315, 387, 645, 903, 1505, 1935, 2709, 4515

Step-4: Factors of 13565

List of positive integer factors of 13565 that divides 13545 without a remainder.

1, 5, 2713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13545 and 13565. The biggest common factor number is the GCF number.
So the greatest common factor 13545 and 13565 is 5.

Also check out the Least Common Multiple of 13545 and 13565