What is the Greatest Common Factor of 11646 and 11664?

Greatest common factor (GCF) of 11646 and 11664 is 18.

GCF(11646,11664) = 18

We will now calculate the prime factors of 11646 and 11664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11646 and 11664.

How to find the GCF of 11646 and 11664?

We will first find the prime factorization of 11646 and 11664. After we will calculate the factors of 11646 and 11664 and find the biggest common factor number .

Step-1: Prime Factorization of 11646

Prime factors of 11646 are 2, 3, 647. Prime factorization of 11646 in exponential form is:

11646 = 2¹ × 3² × 647¹

Step-2: Prime Factorization of 11664

Prime factors of 11664 are 2, 3. Prime factorization of 11664 in exponential form is:

11664 = 2⁴ × 3⁶

Step-3: Factors of 11646

List of positive integer factors of 11646 that divides 11646 without a remainder.

1, 2, 3, 6, 9, 18, 647, 1294, 1941, 3882, 5823

Step-4: Factors of 11664

List of positive integer factors of 11664 that divides 11646 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 729, 972, 1296, 1458, 1944, 2916, 3888, 5832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11646 and 11664. The biggest common factor number is the GCF number.
So the greatest common factor 11646 and 11664 is 18.

Also check out the Least Common Multiple of 11646 and 11664