What is the Greatest Common Factor of 23664 and 23668?

Greatest common factor (GCF) of 23664 and 23668 is 4.

GCF(23664,23668) = 4

We will now calculate the prime factors of 23664 and 23668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23664 and 23668.

How to find the GCF of 23664 and 23668?

We will first find the prime factorization of 23664 and 23668. After we will calculate the factors of 23664 and 23668 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 23668

Prime factors of 23668 are 2, 61, 97. Prime factorization of 23668 in exponential form is:

23668 = 2² × 61¹ × 97¹

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 23668

List of positive integer factors of 23668 that divides 23664 without a remainder.

1, 2, 4, 61, 97, 122, 194, 244, 388, 5917, 11834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23664 and 23668. The biggest common factor number is the GCF number.
So the greatest common factor 23664 and 23668 is 4.

Also check out the Least Common Multiple of 23664 and 23668