What is the Greatest Common Factor of 23217 and 23235?

Greatest common factor (GCF) of 23217 and 23235 is 3.

GCF(23217,23235) = 3

We will now calculate the prime factors of 23217 and 23235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23217 and 23235.

How to find the GCF of 23217 and 23235?

We will first find the prime factorization of 23217 and 23235. After we will calculate the factors of 23217 and 23235 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 23235

Prime factors of 23235 are 3, 5, 1549. Prime factorization of 23235 in exponential form is:

23235 = 3¹ × 5¹ × 1549¹

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 23235

List of positive integer factors of 23235 that divides 23217 without a remainder.

1, 3, 5, 15, 1549, 4647, 7745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23217 and 23235. The biggest common factor number is the GCF number.
So the greatest common factor 23217 and 23235 is 3.

Also check out the Least Common Multiple of 23217 and 23235