What is the Greatest Common Factor of 13580 and 13595?

Greatest common factor (GCF) of 13580 and 13595 is 5.

GCF(13580,13595) = 5

We will now calculate the prime factors of 13580 and 13595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13580 and 13595.

How to find the GCF of 13580 and 13595?

We will first find the prime factorization of 13580 and 13595. After we will calculate the factors of 13580 and 13595 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 13595

Prime factors of 13595 are 5, 2719. Prime factorization of 13595 in exponential form is:

13595 = 5¹ × 2719¹

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 13595

List of positive integer factors of 13595 that divides 13580 without a remainder.

1, 5, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13580 and 13595. The biggest common factor number is the GCF number.
So the greatest common factor 13580 and 13595 is 5.

Also check out the Least Common Multiple of 13580 and 13595