What is the Greatest Common Factor of 23664 and 23669?

Greatest common factor (GCF) of 23664 and 23669 is 1.

GCF(23664,23669) = 1

We will now calculate the prime factors of 23664 and 23669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23664 and 23669.

How to find the GCF of 23664 and 23669?

We will first find the prime factorization of 23664 and 23669. After we will calculate the factors of 23664 and 23669 and find the biggest common factor number .

Step-1: Prime Factorization of 23664

Prime factors of 23664 are 2, 3, 17, 29. Prime factorization of 23664 in exponential form is:

23664 = 2⁴ × 3¹ × 17¹ × 29¹

Step-2: Prime Factorization of 23669

Prime factors of 23669 are 23669. Prime factorization of 23669 in exponential form is:

23669 = 23669¹

Step-3: Factors of 23664

List of positive integer factors of 23664 that divides 23664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 29, 34, 48, 51, 58, 68, 87, 102, 116, 136, 174, 204, 232, 272, 348, 408, 464, 493, 696, 816, 986, 1392, 1479, 1972, 2958, 3944, 5916, 7888, 11832

Step-4: Factors of 23669

List of positive integer factors of 23669 that divides 23664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23664 and 23669. The biggest common factor number is the GCF number.
So the greatest common factor 23664 and 23669 is 1.

Also check out the Least Common Multiple of 23664 and 23669