What is the Greatest Common Factor of 23645 and 23660?

Greatest common factor (GCF) of 23645 and 23660 is 5.

GCF(23645,23660) = 5

We will now calculate the prime factors of 23645 and 23660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23645 and 23660.

How to find the GCF of 23645 and 23660?

We will first find the prime factorization of 23645 and 23660. After we will calculate the factors of 23645 and 23660 and find the biggest common factor number .

Step-1: Prime Factorization of 23645

Prime factors of 23645 are 5, 4729. Prime factorization of 23645 in exponential form is:

23645 = 5¹ × 4729¹

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 23645

List of positive integer factors of 23645 that divides 23645 without a remainder.

1, 5, 4729

Step-4: Factors of 23660

List of positive integer factors of 23660 that divides 23645 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 23645 and 23660. The biggest common factor number is the GCF number.
So the greatest common factor 23645 and 23660 is 5.

Also check out the Least Common Multiple of 23645 and 23660