What is the Greatest Common Factor of 23647 and 23664?

Greatest common factor (GCF) of 23647 and 23664 is 17.

GCF(23647,23664) = 17

We will now calculate the prime factors of 23647 and 23664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23647 and 23664.

How to find the GCF of 23647 and 23664?

We will first find the prime factorization of 23647 and 23664. After we will calculate the factors of 23647 and 23664 and find the biggest common factor number .

Step-1: Prime Factorization of 23647

Prime factors of 23647 are 13, 17, 107. Prime factorization of 23647 in exponential form is:

23647 = 13¹ × 17¹ × 107¹

Step-2: 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-3: Factors of 23647

List of positive integer factors of 23647 that divides 23647 without a remainder.

1, 13, 17, 107, 221, 1391, 1819

Step-4: Factors of 23664

List of positive integer factors of 23664 that divides 23647 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23647 and 23664. The biggest common factor number is the GCF number.
So the greatest common factor 23647 and 23664 is 17.

Also check out the Least Common Multiple of 23647 and 23664