What is the Greatest Common Factor of 23922 and 23940?

Greatest common factor (GCF) of 23922 and 23940 is 18.

GCF(23922,23940) = 18

We will now calculate the prime factors of 23922 and 23940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23922 and 23940.

How to find the GCF of 23922 and 23940?

We will first find the prime factorization of 23922 and 23940. After we will calculate the factors of 23922 and 23940 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 23940

Prime factors of 23940 are 2, 3, 5, 7, 19. Prime factorization of 23940 in exponential form is:

23940 = 2² × 3² × 5¹ × 7¹ × 19¹

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 23940

List of positive integer factors of 23940 that divides 23922 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 19, 20, 21, 28, 30, 35, 36, 38, 42, 45, 57, 60, 63, 70, 76, 84, 90, 95, 105, 114, 126, 133, 140, 171, 180, 190, 210, 228, 252, 266, 285, 315, 342, 380, 399, 420, 532, 570, 630, 665, 684, 798, 855, 1140, 1197, 1260, 1330, 1596, 1710, 1995, 2394, 2660, 3420, 3990, 4788, 5985, 7980, 11970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23922 and 23940. The biggest common factor number is the GCF number.
So the greatest common factor 23922 and 23940 is 18.

Also check out the Least Common Multiple of 23922 and 23940