What is the Greatest Common Factor of 11664 and 11669?

Greatest common factor (GCF) of 11664 and 11669 is 1.

GCF(11664,11669) = 1

We will now calculate the prime factors of 11664 and 11669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11664 and 11669.

How to find the GCF of 11664 and 11669?

We will first find the prime factorization of 11664 and 11669. After we will calculate the factors of 11664 and 11669 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 11669

Prime factors of 11669 are 7, 1667. Prime factorization of 11669 in exponential form is:

11669 = 7¹ × 1667¹

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 11669

List of positive integer factors of 11669 that divides 11664 without a remainder.

1, 7, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11664 and 11669. The biggest common factor number is the GCF number.
So the greatest common factor 11664 and 11669 is 1.

Also check out the Least Common Multiple of 11664 and 11669