What is the Greatest Common Factor of 23922 and 23934?

Greatest common factor (GCF) of 23922 and 23934 is 6.

GCF(23922,23934) = 6

We will now calculate the prime factors of 23922 and 23934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23922 and 23934.

How to find the GCF of 23922 and 23934?

We will first find the prime factorization of 23922 and 23934. After we will calculate the factors of 23922 and 23934 and find the biggest common factor number .

Step-1: Prime Factorization of 23922

Prime factors of 23922 are 2, 3, 443. Prime factorization of 23922 in exponential form is:

23922 = 2¹ × 3³ × 443¹

Step-2: Prime Factorization of 23934

Prime factors of 23934 are 2, 3, 3989. Prime factorization of 23934 in exponential form is:

23934 = 2¹ × 3¹ × 3989¹

Step-3: Factors of 23922

List of positive integer factors of 23922 that divides 23922 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 443, 886, 1329, 2658, 3987, 7974, 11961

Step-4: Factors of 23934

List of positive integer factors of 23934 that divides 23922 without a remainder.

1, 2, 3, 6, 3989, 7978, 11967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23922 and 23934. The biggest common factor number is the GCF number.
So the greatest common factor 23922 and 23934 is 6.

Also check out the Least Common Multiple of 23922 and 23934