What is the Greatest Common Factor of 23059 and 23069?

Greatest common factor (GCF) of 23059 and 23069 is 1.

GCF(23059,23069) = 1

We will now calculate the prime factors of 23059 and 23069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23059 and 23069.

How to find the GCF of 23059 and 23069?

We will first find the prime factorization of 23059 and 23069. After we will calculate the factors of 23059 and 23069 and find the biggest common factor number .

Step-1: Prime Factorization of 23059

Prime factors of 23059 are 23059. Prime factorization of 23059 in exponential form is:

23059 = 23059¹

Step-2: Prime Factorization of 23069

Prime factors of 23069 are 17, 23, 59. Prime factorization of 23069 in exponential form is:

23069 = 17¹ × 23¹ × 59¹

Step-3: Factors of 23059

List of positive integer factors of 23059 that divides 23059 without a remainder.

Step-4: Factors of 23069

List of positive integer factors of 23069 that divides 23059 without a remainder.

1, 17, 23, 59, 391, 1003, 1357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23059 and 23069. The biggest common factor number is the GCF number.
So the greatest common factor 23059 and 23069 is 1.

Also check out the Least Common Multiple of 23059 and 23069