What is the Greatest Common Factor of 13580 and 13597?

Greatest common factor (GCF) of 13580 and 13597 is 1.

GCF(13580,13597) = 1

We will now calculate the prime factors of 13580 and 13597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13580 and 13597.

How to find the GCF of 13580 and 13597?

We will first find the prime factorization of 13580 and 13597. After we will calculate the factors of 13580 and 13597 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13597

Prime factors of 13597 are 13597. Prime factorization of 13597 in exponential form is:

13597 = 13597¹

Step-3: Factors of 13580

List of positive integer factors of 13580 that divides 13580 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

Step-4: Factors of 13597

List of positive integer factors of 13597 that divides 13580 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13580 and 13597. The biggest common factor number is the GCF number.
So the greatest common factor 13580 and 13597 is 1.

Also check out the Least Common Multiple of 13580 and 13597