What is the Greatest Common Factor of 23940 and 23959?

Greatest common factor (GCF) of 23940 and 23959 is 19.

GCF(23940,23959) = 19

We will now calculate the prime factors of 23940 and 23959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23940 and 23959.

How to find the GCF of 23940 and 23959?

We will first find the prime factorization of 23940 and 23959. After we will calculate the factors of 23940 and 23959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23959

Prime factors of 23959 are 13, 19, 97. Prime factorization of 23959 in exponential form is:

23959 = 13¹ × 19¹ × 97¹

Step-3: Factors of 23940

List of positive integer factors of 23940 that divides 23940 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

Step-4: Factors of 23959

List of positive integer factors of 23959 that divides 23940 without a remainder.

1, 13, 19, 97, 247, 1261, 1843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23940 and 23959. The biggest common factor number is the GCF number.
So the greatest common factor 23940 and 23959 is 19.

Also check out the Least Common Multiple of 23940 and 23959