What is the Greatest Common Factor of 11700 and 11713?

Greatest common factor (GCF) of 11700 and 11713 is 13.

GCF(11700,11713) = 13

We will now calculate the prime factors of 11700 and 11713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11700 and 11713.

How to find the GCF of 11700 and 11713?

We will first find the prime factorization of 11700 and 11713. After we will calculate the factors of 11700 and 11713 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 11713

Prime factors of 11713 are 13, 17, 53. Prime factorization of 11713 in exponential form is:

11713 = 13¹ × 17¹ × 53¹

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 11713

List of positive integer factors of 11713 that divides 11700 without a remainder.

1, 13, 17, 53, 221, 689, 901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11700 and 11713. The biggest common factor number is the GCF number.
So the greatest common factor 11700 and 11713 is 13.

Also check out the Least Common Multiple of 11700 and 11713