What is the Greatest Common Factor of 11600 and 11614?

Greatest common factor (GCF) of 11600 and 11614 is 2.

GCF(11600,11614) = 2

We will now calculate the prime factors of 11600 and 11614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11600 and 11614.

How to find the GCF of 11600 and 11614?

We will first find the prime factorization of 11600 and 11614. After we will calculate the factors of 11600 and 11614 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 11614

Prime factors of 11614 are 2, 5807. Prime factorization of 11614 in exponential form is:

11614 = 2¹ × 5807¹

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 11614

List of positive integer factors of 11614 that divides 11600 without a remainder.

1, 2, 5807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11600 and 11614. The biggest common factor number is the GCF number.
So the greatest common factor 11600 and 11614 is 2.

Also check out the Least Common Multiple of 11600 and 11614