What is the Greatest Common Factor of 23017 and 23023?

Greatest common factor (GCF) of 23017 and 23023 is 1.

GCF(23017,23023) = 1

We will now calculate the prime factors of 23017 and 23023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23017 and 23023.

How to find the GCF of 23017 and 23023?

We will first find the prime factorization of 23017 and 23023. After we will calculate the factors of 23017 and 23023 and find the biggest common factor number .

Step-1: Prime Factorization of 23017

Prime factors of 23017 are 23017. Prime factorization of 23017 in exponential form is:

23017 = 23017¹

Step-2: Prime Factorization of 23023

Prime factors of 23023 are 7, 11, 13, 23. Prime factorization of 23023 in exponential form is:

23023 = 7¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 23017

List of positive integer factors of 23017 that divides 23017 without a remainder.

Step-4: Factors of 23023

List of positive integer factors of 23023 that divides 23017 without a remainder.

1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23017 and 23023. The biggest common factor number is the GCF number.
So the greatest common factor 23017 and 23023 is 1.

Also check out the Least Common Multiple of 23017 and 23023