What is the Greatest Common Factor of 23922 and 23938?

Greatest common factor (GCF) of 23922 and 23938 is 2.

GCF(23922,23938) = 2

We will now calculate the prime factors of 23922 and 23938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23922 and 23938.

How to find the GCF of 23922 and 23938?

We will first find the prime factorization of 23922 and 23938. After we will calculate the factors of 23922 and 23938 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 23938

Prime factors of 23938 are 2, 11969. Prime factorization of 23938 in exponential form is:

23938 = 2¹ × 11969¹

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 23938

List of positive integer factors of 23938 that divides 23922 without a remainder.

1, 2, 11969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23922 and 23938. The biggest common factor number is the GCF number.
So the greatest common factor 23922 and 23938 is 2.

Also check out the Least Common Multiple of 23922 and 23938