What is the Greatest Common Factor of 23600 and 23605?

Greatest common factor (GCF) of 23600 and 23605 is 5.

GCF(23600,23605) = 5

We will now calculate the prime factors of 23600 and 23605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23600 and 23605.

How to find the GCF of 23600 and 23605?

We will first find the prime factorization of 23600 and 23605. After we will calculate the factors of 23600 and 23605 and find the biggest common factor number .

Step-1: Prime Factorization of 23600

Prime factors of 23600 are 2, 5, 59. Prime factorization of 23600 in exponential form is:

23600 = 2⁴ × 5² × 59¹

Step-2: Prime Factorization of 23605

Prime factors of 23605 are 5, 4721. Prime factorization of 23605 in exponential form is:

23605 = 5¹ × 4721¹

Step-3: Factors of 23600

List of positive integer factors of 23600 that divides 23600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 59, 80, 100, 118, 200, 236, 295, 400, 472, 590, 944, 1180, 1475, 2360, 2950, 4720, 5900, 11800

Step-4: Factors of 23605

List of positive integer factors of 23605 that divides 23600 without a remainder.

1, 5, 4721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23600 and 23605. The biggest common factor number is the GCF number.
So the greatest common factor 23600 and 23605 is 5.

Also check out the Least Common Multiple of 23600 and 23605