What is the Greatest Common Factor of 23921 and 23940?

Greatest common factor (GCF) of 23921 and 23940 is 19.

GCF(23921,23940) = 19

We will now calculate the prime factors of 23921 and 23940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23921 and 23940.

How to find the GCF of 23921 and 23940?

We will first find the prime factorization of 23921 and 23940. After we will calculate the factors of 23921 and 23940 and find the biggest common factor number .

Step-1: Prime Factorization of 23921

Prime factors of 23921 are 19, 1259. Prime factorization of 23921 in exponential form is:

23921 = 19¹ × 1259¹

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 23921

List of positive integer factors of 23921 that divides 23921 without a remainder.

1, 19, 1259

Step-4: Factors of 23940

List of positive integer factors of 23940 that divides 23921 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 23921 and 23940. The biggest common factor number is the GCF number.
So the greatest common factor 23921 and 23940 is 19.

Also check out the Least Common Multiple of 23921 and 23940