What is the Greatest Common Factor of 23634 and 23644?

Greatest common factor (GCF) of 23634 and 23644 is 2.

GCF(23634,23644) = 2

We will now calculate the prime factors of 23634 and 23644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23634 and 23644.

How to find the GCF of 23634 and 23644?

We will first find the prime factorization of 23634 and 23644. After we will calculate the factors of 23634 and 23644 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 23644

Prime factors of 23644 are 2, 23, 257. Prime factorization of 23644 in exponential form is:

23644 = 2² × 23¹ × 257¹

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 23644

List of positive integer factors of 23644 that divides 23634 without a remainder.

1, 2, 4, 23, 46, 92, 257, 514, 1028, 5911, 11822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23634 and 23644. The biggest common factor number is the GCF number.
So the greatest common factor 23634 and 23644 is 2.

Also check out the Least Common Multiple of 23634 and 23644