What is the Greatest Common Factor of 11665 and 11680?

Greatest common factor (GCF) of 11665 and 11680 is 5.

GCF(11665,11680) = 5

We will now calculate the prime factors of 11665 and 11680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11665 and 11680.

How to find the GCF of 11665 and 11680?

We will first find the prime factorization of 11665 and 11680. After we will calculate the factors of 11665 and 11680 and find the biggest common factor number .

Step-1: Prime Factorization of 11665

Prime factors of 11665 are 5, 2333. Prime factorization of 11665 in exponential form is:

11665 = 5¹ × 2333¹

Step-2: Prime Factorization of 11680

Prime factors of 11680 are 2, 5, 73. Prime factorization of 11680 in exponential form is:

11680 = 2⁵ × 5¹ × 73¹

Step-3: Factors of 11665

List of positive integer factors of 11665 that divides 11665 without a remainder.

1, 5, 2333

Step-4: Factors of 11680

List of positive integer factors of 11680 that divides 11665 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 73, 80, 146, 160, 292, 365, 584, 730, 1168, 1460, 2336, 2920, 5840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11665 and 11680. The biggest common factor number is the GCF number.
So the greatest common factor 11665 and 11680 is 5.

Also check out the Least Common Multiple of 11665 and 11680