What is the Greatest Common Factor of 13588 and 13604?

Greatest common factor (GCF) of 13588 and 13604 is 4.

GCF(13588,13604) = 4

We will now calculate the prime factors of 13588 and 13604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13588 and 13604.

How to find the GCF of 13588 and 13604?

We will first find the prime factorization of 13588 and 13604. After we will calculate the factors of 13588 and 13604 and find the biggest common factor number .

Step-1: Prime Factorization of 13588

Prime factors of 13588 are 2, 43, 79. Prime factorization of 13588 in exponential form is:

13588 = 2² × 43¹ × 79¹

Step-2: Prime Factorization of 13604

Prime factors of 13604 are 2, 19, 179. Prime factorization of 13604 in exponential form is:

13604 = 2² × 19¹ × 179¹

Step-3: Factors of 13588

List of positive integer factors of 13588 that divides 13588 without a remainder.

1, 2, 4, 43, 79, 86, 158, 172, 316, 3397, 6794

Step-4: Factors of 13604

List of positive integer factors of 13604 that divides 13588 without a remainder.

1, 2, 4, 19, 38, 76, 179, 358, 716, 3401, 6802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13588 and 13604. The biggest common factor number is the GCF number.
So the greatest common factor 13588 and 13604 is 4.

Also check out the Least Common Multiple of 13588 and 13604