What is the Greatest Common Factor of 13600 and 13605?

Greatest common factor (GCF) of 13600 and 13605 is 5.

GCF(13600,13605) = 5

We will now calculate the prime factors of 13600 and 13605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13600 and 13605.

How to find the GCF of 13600 and 13605?

We will first find the prime factorization of 13600 and 13605. After we will calculate the factors of 13600 and 13605 and find the biggest common factor number .

Step-1: Prime Factorization of 13600

Prime factors of 13600 are 2, 5, 17. Prime factorization of 13600 in exponential form is:

13600 = 2⁵ × 5² × 17¹

Step-2: Prime Factorization of 13605

Prime factors of 13605 are 3, 5, 907. Prime factorization of 13605 in exponential form is:

13605 = 3¹ × 5¹ × 907¹

Step-3: Factors of 13600

List of positive integer factors of 13600 that divides 13600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80, 85, 100, 136, 160, 170, 200, 272, 340, 400, 425, 544, 680, 800, 850, 1360, 1700, 2720, 3400, 6800

Step-4: Factors of 13605

List of positive integer factors of 13605 that divides 13600 without a remainder.

1, 3, 5, 15, 907, 2721, 4535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13600 and 13605. The biggest common factor number is the GCF number.
So the greatest common factor 13600 and 13605 is 5.

Also check out the Least Common Multiple of 13600 and 13605