What is the Greatest Common Factor of 23914 and 23922?

Greatest common factor (GCF) of 23914 and 23922 is 2.

GCF(23914,23922) = 2

We will now calculate the prime factors of 23914 and 23922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23914 and 23922.

How to find the GCF of 23914 and 23922?

We will first find the prime factorization of 23914 and 23922. After we will calculate the factors of 23914 and 23922 and find the biggest common factor number .

Step-1: Prime Factorization of 23914

Prime factors of 23914 are 2, 11, 1087. Prime factorization of 23914 in exponential form is:

23914 = 2¹ × 11¹ × 1087¹

Step-2: 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-3: Factors of 23914

List of positive integer factors of 23914 that divides 23914 without a remainder.

1, 2, 11, 22, 1087, 2174, 11957

Step-4: Factors of 23922

List of positive integer factors of 23922 that divides 23914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23914 and 23922. The biggest common factor number is the GCF number.
So the greatest common factor 23914 and 23922 is 2.

Also check out the Least Common Multiple of 23914 and 23922