What is the Greatest Common Factor of 11600 and 11605?

Greatest common factor (GCF) of 11600 and 11605 is 5.

GCF(11600,11605) = 5

We will now calculate the prime factors of 11600 and 11605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11600 and 11605.

How to find the GCF of 11600 and 11605?

We will first find the prime factorization of 11600 and 11605. After we will calculate the factors of 11600 and 11605 and find the biggest common factor number .

Step-1: Prime Factorization of 11600

Prime factors of 11600 are 2, 5, 29. Prime factorization of 11600 in exponential form is:

11600 = 2⁴ × 5² × 29¹

Step-2: Prime Factorization of 11605

Prime factors of 11605 are 5, 11, 211. Prime factorization of 11605 in exponential form is:

11605 = 5¹ × 11¹ × 211¹

Step-3: Factors of 11600

List of positive integer factors of 11600 that divides 11600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116, 145, 200, 232, 290, 400, 464, 580, 725, 1160, 1450, 2320, 2900, 5800

Step-4: Factors of 11605

List of positive integer factors of 11605 that divides 11600 without a remainder.

1, 5, 11, 55, 211, 1055, 2321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11600 and 11605. The biggest common factor number is the GCF number.
So the greatest common factor 11600 and 11605 is 5.

Also check out the Least Common Multiple of 11600 and 11605