What is the Greatest Common Factor of 23640 and 23660?

Greatest common factor (GCF) of 23640 and 23660 is 20.

GCF(23640,23660) = 20

We will now calculate the prime factors of 23640 and 23660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23640 and 23660.

How to find the GCF of 23640 and 23660?

We will first find the prime factorization of 23640 and 23660. After we will calculate the factors of 23640 and 23660 and find the biggest common factor number .

Step-1: Prime Factorization of 23640

Prime factors of 23640 are 2, 3, 5, 197. Prime factorization of 23640 in exponential form is:

23640 = 2³ × 3¹ × 5¹ × 197¹

Step-2: Prime Factorization of 23660

Prime factors of 23660 are 2, 5, 7, 13. Prime factorization of 23660 in exponential form is:

23660 = 2² × 5¹ × 7¹ × 13²

Step-3: Factors of 23640

List of positive integer factors of 23640 that divides 23640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 197, 394, 591, 788, 985, 1182, 1576, 1970, 2364, 2955, 3940, 4728, 5910, 7880, 11820

Step-4: Factors of 23660

List of positive integer factors of 23660 that divides 23640 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 169, 182, 260, 338, 364, 455, 676, 845, 910, 1183, 1690, 1820, 2366, 3380, 4732, 5915, 11830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23640 and 23660. The biggest common factor number is the GCF number.
So the greatest common factor 23640 and 23660 is 20.

Also check out the Least Common Multiple of 23640 and 23660