What is the Greatest Common Factor of 23305 and 23310?

Greatest common factor (GCF) of 23305 and 23310 is 5.

GCF(23305,23310) = 5

We will now calculate the prime factors of 23305 and 23310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23305 and 23310.

How to find the GCF of 23305 and 23310?

We will first find the prime factorization of 23305 and 23310. After we will calculate the factors of 23305 and 23310 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23310

Prime factors of 23310 are 2, 3, 5, 7, 37. Prime factorization of 23310 in exponential form is:

23310 = 2¹ × 3² × 5¹ × 7¹ × 37¹

Step-3: Factors of 23305

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

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

Step-4: Factors of 23310

List of positive integer factors of 23310 that divides 23305 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 37, 42, 45, 63, 70, 74, 90, 105, 111, 126, 185, 210, 222, 259, 315, 333, 370, 518, 555, 630, 666, 777, 1110, 1295, 1554, 1665, 2331, 2590, 3330, 3885, 4662, 7770, 11655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23305 and 23310. The biggest common factor number is the GCF number.
So the greatest common factor 23305 and 23310 is 5.

Also check out the Least Common Multiple of 23305 and 23310