What is the Greatest Common Factor of 23940 and 23948?

Greatest common factor (GCF) of 23940 and 23948 is 4.

GCF(23940,23948) = 4

We will now calculate the prime factors of 23940 and 23948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23940 and 23948.

How to find the GCF of 23940 and 23948?

We will first find the prime factorization of 23940 and 23948. After we will calculate the factors of 23940 and 23948 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 23948

Prime factors of 23948 are 2, 5987. Prime factorization of 23948 in exponential form is:

23948 = 2² × 5987¹

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 23948

List of positive integer factors of 23948 that divides 23940 without a remainder.

1, 2, 4, 5987, 11974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23940 and 23948. The biggest common factor number is the GCF number.
So the greatest common factor 23940 and 23948 is 4.

Also check out the Least Common Multiple of 23940 and 23948