What is the Greatest Common Factor of 11715 and 11730?

Greatest common factor (GCF) of 11715 and 11730 is 15.

GCF(11715,11730) = 15

We will now calculate the prime factors of 11715 and 11730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11715 and 11730.

How to find the GCF of 11715 and 11730?

We will first find the prime factorization of 11715 and 11730. After we will calculate the factors of 11715 and 11730 and find the biggest common factor number .

Step-1: Prime Factorization of 11715

Prime factors of 11715 are 3, 5, 11, 71. Prime factorization of 11715 in exponential form is:

11715 = 3¹ × 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 11730

Prime factors of 11730 are 2, 3, 5, 17, 23. Prime factorization of 11730 in exponential form is:

11730 = 2¹ × 3¹ × 5¹ × 17¹ × 23¹

Step-3: Factors of 11715

List of positive integer factors of 11715 that divides 11715 without a remainder.

1, 3, 5, 11, 15, 33, 55, 71, 165, 213, 355, 781, 1065, 2343, 3905

Step-4: Factors of 11730

List of positive integer factors of 11730 that divides 11715 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 23, 30, 34, 46, 51, 69, 85, 102, 115, 138, 170, 230, 255, 345, 391, 510, 690, 782, 1173, 1955, 2346, 3910, 5865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11715 and 11730. The biggest common factor number is the GCF number.
So the greatest common factor 11715 and 11730 is 15.

Also check out the Least Common Multiple of 11715 and 11730