What is the Greatest Common Factor of 23634 and 23647?

Greatest common factor (GCF) of 23634 and 23647 is 13.

GCF(23634,23647) = 13

We will now calculate the prime factors of 23634 and 23647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23634 and 23647.

How to find the GCF of 23634 and 23647?

We will first find the prime factorization of 23634 and 23647. After we will calculate the factors of 23634 and 23647 and find the biggest common factor number .

Step-1: Prime Factorization of 23634

Prime factors of 23634 are 2, 3, 13, 101. Prime factorization of 23634 in exponential form is:

23634 = 2¹ × 3² × 13¹ × 101¹

Step-2: 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-3: Factors of 23634

List of positive integer factors of 23634 that divides 23634 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 101, 117, 202, 234, 303, 606, 909, 1313, 1818, 2626, 3939, 7878, 11817

Step-4: Factors of 23647

List of positive integer factors of 23647 that divides 23634 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23634 and 23647. The biggest common factor number is the GCF number.
So the greatest common factor 23634 and 23647 is 13.

Also check out the Least Common Multiple of 23634 and 23647