What is the Greatest Common Factor of 23619 and 23634?

Greatest common factor (GCF) of 23619 and 23634 is 3.

GCF(23619,23634) = 3

We will now calculate the prime factors of 23619 and 23634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23619 and 23634.

How to find the GCF of 23619 and 23634?

We will first find the prime factorization of 23619 and 23634. After we will calculate the factors of 23619 and 23634 and find the biggest common factor number .

Step-1: Prime Factorization of 23619

Prime factors of 23619 are 3, 7873. Prime factorization of 23619 in exponential form is:

23619 = 3¹ × 7873¹

Step-2: 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-3: Factors of 23619

List of positive integer factors of 23619 that divides 23619 without a remainder.

1, 3, 7873

Step-4: Factors of 23634

List of positive integer factors of 23634 that divides 23619 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23619 and 23634. The biggest common factor number is the GCF number.
So the greatest common factor 23619 and 23634 is 3.

Also check out the Least Common Multiple of 23619 and 23634