What is the Greatest Common Factor of 23940 and 23957?

Greatest common factor (GCF) of 23940 and 23957 is 1.

GCF(23940,23957) = 1

We will now calculate the prime factors of 23940 and 23957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23940 and 23957.

How to find the GCF of 23940 and 23957?

We will first find the prime factorization of 23940 and 23957. After we will calculate the factors of 23940 and 23957 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 23957

Prime factors of 23957 are 23957. Prime factorization of 23957 in exponential form is:

23957 = 23957¹

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 23957

List of positive integer factors of 23957 that divides 23940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23940 and 23957. The biggest common factor number is the GCF number.
So the greatest common factor 23940 and 23957 is 1.

Also check out the Least Common Multiple of 23940 and 23957