What is the Greatest Common Factor of 23225 and 23230?

Greatest common factor (GCF) of 23225 and 23230 is 5.

GCF(23225,23230) = 5

We will now calculate the prime factors of 23225 and 23230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23225 and 23230.

How to find the GCF of 23225 and 23230?

We will first find the prime factorization of 23225 and 23230. After we will calculate the factors of 23225 and 23230 and find the biggest common factor number .

Step-1: Prime Factorization of 23225

Prime factors of 23225 are 5, 929. Prime factorization of 23225 in exponential form is:

23225 = 5² × 929¹

Step-2: 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-3: Factors of 23225

List of positive integer factors of 23225 that divides 23225 without a remainder.

1, 5, 25, 929, 4645

Step-4: Factors of 23230

List of positive integer factors of 23230 that divides 23225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23225 and 23230. The biggest common factor number is the GCF number.
So the greatest common factor 23225 and 23230 is 5.

Also check out the Least Common Multiple of 23225 and 23230