What is the Greatest Common Factor of 23355 and 23370?

Greatest common factor (GCF) of 23355 and 23370 is 15.

GCF(23355,23370) = 15

We will now calculate the prime factors of 23355 and 23370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23355 and 23370.

How to find the GCF of 23355 and 23370?

We will first find the prime factorization of 23355 and 23370. After we will calculate the factors of 23355 and 23370 and find the biggest common factor number .

Step-1: Prime Factorization of 23355

Prime factors of 23355 are 3, 5, 173. Prime factorization of 23355 in exponential form is:

23355 = 3³ × 5¹ × 173¹

Step-2: Prime Factorization of 23370

Prime factors of 23370 are 2, 3, 5, 19, 41. Prime factorization of 23370 in exponential form is:

23370 = 2¹ × 3¹ × 5¹ × 19¹ × 41¹

Step-3: Factors of 23355

List of positive integer factors of 23355 that divides 23355 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 173, 519, 865, 1557, 2595, 4671, 7785

Step-4: Factors of 23370

List of positive integer factors of 23370 that divides 23355 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123, 190, 205, 246, 285, 410, 570, 615, 779, 1230, 1558, 2337, 3895, 4674, 7790, 11685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23355 and 23370. The biggest common factor number is the GCF number.
So the greatest common factor 23355 and 23370 is 15.

Also check out the Least Common Multiple of 23355 and 23370