What is the Greatest Common Factor of 13565 and 13580?

Greatest common factor (GCF) of 13565 and 13580 is 5.

GCF(13565,13580) = 5

We will now calculate the prime factors of 13565 and 13580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13565 and 13580.

How to find the GCF of 13565 and 13580?

We will first find the prime factorization of 13565 and 13580. After we will calculate the factors of 13565 and 13580 and find the biggest common factor number .

Step-1: Prime Factorization of 13565

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

13565 = 5¹ × 2713¹

Step-2: Prime Factorization of 13580

Prime factors of 13580 are 2, 5, 7, 97. Prime factorization of 13580 in exponential form is:

13580 = 2² × 5¹ × 7¹ × 97¹

Step-3: Factors of 13565

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

1, 5, 2713

Step-4: Factors of 13580

List of positive integer factors of 13580 that divides 13565 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 97, 140, 194, 388, 485, 679, 970, 1358, 1940, 2716, 3395, 6790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13565 and 13580. The biggest common factor number is the GCF number.
So the greatest common factor 13565 and 13580 is 5.

Also check out the Least Common Multiple of 13565 and 13580