What is the Greatest Common Factor of 23300 and 23305?

Greatest common factor (GCF) of 23300 and 23305 is 5.

GCF(23300,23305) = 5

We will now calculate the prime factors of 23300 and 23305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23300 and 23305.

How to find the GCF of 23300 and 23305?

We will first find the prime factorization of 23300 and 23305. After we will calculate the factors of 23300 and 23305 and find the biggest common factor number .

Step-1: Prime Factorization of 23300

Prime factors of 23300 are 2, 5, 233. Prime factorization of 23300 in exponential form is:

23300 = 2² × 5² × 233¹

Step-2: Prime Factorization of 23305

Prime factors of 23305 are 5, 59, 79. Prime factorization of 23305 in exponential form is:

23305 = 5¹ × 59¹ × 79¹

Step-3: Factors of 23300

List of positive integer factors of 23300 that divides 23300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 233, 466, 932, 1165, 2330, 4660, 5825, 11650

Step-4: Factors of 23305

List of positive integer factors of 23305 that divides 23300 without a remainder.

1, 5, 59, 79, 295, 395, 4661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23300 and 23305. The biggest common factor number is the GCF number.
So the greatest common factor 23300 and 23305 is 5.

Also check out the Least Common Multiple of 23300 and 23305