What is the Greatest Common Factor of 23634 and 23638?

Greatest common factor (GCF) of 23634 and 23638 is 2.

GCF(23634,23638) = 2

We will now calculate the prime factors of 23634 and 23638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23634 and 23638.

How to find the GCF of 23634 and 23638?

We will first find the prime factorization of 23634 and 23638. After we will calculate the factors of 23634 and 23638 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 23638

Prime factors of 23638 are 2, 53, 223. Prime factorization of 23638 in exponential form is:

23638 = 2¹ × 53¹ × 223¹

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 23638

List of positive integer factors of 23638 that divides 23634 without a remainder.

1, 2, 53, 106, 223, 446, 11819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23634 and 23638. The biggest common factor number is the GCF number.
So the greatest common factor 23634 and 23638 is 2.

Also check out the Least Common Multiple of 23634 and 23638