What is the Greatest Common Factor of 23217 and 23223?

Greatest common factor (GCF) of 23217 and 23223 is 3.

GCF(23217,23223) = 3

We will now calculate the prime factors of 23217 and 23223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23217 and 23223.

How to find the GCF of 23217 and 23223?

We will first find the prime factorization of 23217 and 23223. After we will calculate the factors of 23217 and 23223 and find the biggest common factor number .

Step-1: Prime Factorization of 23217

Prime factors of 23217 are 3, 71, 109. Prime factorization of 23217 in exponential form is:

23217 = 3¹ × 71¹ × 109¹

Step-2: Prime Factorization of 23223

Prime factors of 23223 are 3, 7741. Prime factorization of 23223 in exponential form is:

23223 = 3¹ × 7741¹

Step-3: Factors of 23217

List of positive integer factors of 23217 that divides 23217 without a remainder.

1, 3, 71, 109, 213, 327, 7739

Step-4: Factors of 23223

List of positive integer factors of 23223 that divides 23217 without a remainder.

1, 3, 7741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23217 and 23223. The biggest common factor number is the GCF number.
So the greatest common factor 23217 and 23223 is 3.

Also check out the Least Common Multiple of 23217 and 23223