What is the Greatest Common Factor of 13580 and 13587?

Greatest common factor (GCF) of 13580 and 13587 is 7.

GCF(13580,13587) = 7

We will now calculate the prime factors of 13580 and 13587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13580 and 13587.

How to find the GCF of 13580 and 13587?

We will first find the prime factorization of 13580 and 13587. After we will calculate the factors of 13580 and 13587 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 13587

Prime factors of 13587 are 3, 7, 647. Prime factorization of 13587 in exponential form is:

13587 = 3¹ × 7¹ × 647¹

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 13587

List of positive integer factors of 13587 that divides 13580 without a remainder.

1, 3, 7, 21, 647, 1941, 4529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13580 and 13587. The biggest common factor number is the GCF number.
So the greatest common factor 13580 and 13587 is 7.

Also check out the Least Common Multiple of 13580 and 13587