What is the Greatest Common Factor of 11700 and 11716?

Greatest common factor (GCF) of 11700 and 11716 is 4.

GCF(11700,11716) = 4

We will now calculate the prime factors of 11700 and 11716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11700 and 11716.

How to find the GCF of 11700 and 11716?

We will first find the prime factorization of 11700 and 11716. After we will calculate the factors of 11700 and 11716 and find the biggest common factor number .

Step-1: Prime Factorization of 11700

Prime factors of 11700 are 2, 3, 5, 13. Prime factorization of 11700 in exponential form is:

11700 = 2² × 3² × 5² × 13¹

Step-2: Prime Factorization of 11716

Prime factors of 11716 are 2, 29, 101. Prime factorization of 11716 in exponential form is:

11716 = 2² × 29¹ × 101¹

Step-3: Factors of 11700

List of positive integer factors of 11700 that divides 11700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30, 36, 39, 45, 50, 52, 60, 65, 75, 78, 90, 100, 117, 130, 150, 156, 180, 195, 225, 234, 260, 300, 325, 390, 450, 468, 585, 650, 780, 900, 975, 1170, 1300, 1950, 2340, 2925, 3900, 5850

Step-4: Factors of 11716

List of positive integer factors of 11716 that divides 11700 without a remainder.

1, 2, 4, 29, 58, 101, 116, 202, 404, 2929, 5858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11700 and 11716. The biggest common factor number is the GCF number.
So the greatest common factor 11700 and 11716 is 4.

Also check out the Least Common Multiple of 11700 and 11716