What is the Greatest Common Factor of 11664 and 11682?

Greatest common factor (GCF) of 11664 and 11682 is 18.

GCF(11664,11682) = 18

We will now calculate the prime factors of 11664 and 11682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11664 and 11682.

How to find the GCF of 11664 and 11682?

We will first find the prime factorization of 11664 and 11682. After we will calculate the factors of 11664 and 11682 and find the biggest common factor number .

Step-1: Prime Factorization of 11664

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

11664 = 2⁴ × 3⁶

Step-2: Prime Factorization of 11682

Prime factors of 11682 are 2, 3, 11, 59. Prime factorization of 11682 in exponential form is:

11682 = 2¹ × 3² × 11¹ × 59¹

Step-3: Factors of 11664

List of positive integer factors of 11664 that divides 11664 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

Step-4: Factors of 11682

List of positive integer factors of 11682 that divides 11664 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 59, 66, 99, 118, 177, 198, 354, 531, 649, 1062, 1298, 1947, 3894, 5841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11664 and 11682. The biggest common factor number is the GCF number.
So the greatest common factor 11664 and 11682 is 18.

Also check out the Least Common Multiple of 11664 and 11682