What is the Greatest Common Factor of 23201 and 23217?

Greatest common factor (GCF) of 23201 and 23217 is 1.

GCF(23201,23217) = 1

We will now calculate the prime factors of 23201 and 23217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23201 and 23217.

How to find the GCF of 23201 and 23217?

We will first find the prime factorization of 23201 and 23217. After we will calculate the factors of 23201 and 23217 and find the biggest common factor number .

Step-1: Prime Factorization of 23201

Prime factors of 23201 are 23201. Prime factorization of 23201 in exponential form is:

23201 = 23201¹

Step-2: 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-3: Factors of 23201

List of positive integer factors of 23201 that divides 23201 without a remainder.

Step-4: Factors of 23217

List of positive integer factors of 23217 that divides 23201 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23201 and 23217. The biggest common factor number is the GCF number.
So the greatest common factor 23201 and 23217 is 1.

Also check out the Least Common Multiple of 23201 and 23217