What is the Greatest Common Factor of 23230 and 23245?

Greatest common factor (GCF) of 23230 and 23245 is 5.

GCF(23230,23245) = 5

We will now calculate the prime factors of 23230 and 23245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23230 and 23245.

How to find the GCF of 23230 and 23245?

We will first find the prime factorization of 23230 and 23245. After we will calculate the factors of 23230 and 23245 and find the biggest common factor number .

Step-1: Prime Factorization of 23230

Prime factors of 23230 are 2, 5, 23, 101. Prime factorization of 23230 in exponential form is:

23230 = 2¹ × 5¹ × 23¹ × 101¹

Step-2: Prime Factorization of 23245

Prime factors of 23245 are 5, 4649. Prime factorization of 23245 in exponential form is:

23245 = 5¹ × 4649¹

Step-3: Factors of 23230

List of positive integer factors of 23230 that divides 23230 without a remainder.

1, 2, 5, 10, 23, 46, 101, 115, 202, 230, 505, 1010, 2323, 4646, 11615

Step-4: Factors of 23245

List of positive integer factors of 23245 that divides 23230 without a remainder.

1, 5, 4649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23230 and 23245. The biggest common factor number is the GCF number.
So the greatest common factor 23230 and 23245 is 5.

Also check out the Least Common Multiple of 23230 and 23245