What is the Greatest Common Factor of 23057 and 23069?

Greatest common factor (GCF) of 23057 and 23069 is 1.

GCF(23057,23069) = 1

We will now calculate the prime factors of 23057 and 23069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23057 and 23069.

How to find the GCF of 23057 and 23069?

We will first find the prime factorization of 23057 and 23069. After we will calculate the factors of 23057 and 23069 and find the biggest common factor number .

Step-1: Prime Factorization of 23057

Prime factors of 23057 are 23057. Prime factorization of 23057 in exponential form is:

23057 = 23057¹

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 23057

List of positive integer factors of 23057 that divides 23057 without a remainder.

Step-4: Factors of 23069

List of positive integer factors of 23069 that divides 23057 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23057 and 23069. The biggest common factor number is the GCF number.
So the greatest common factor 23057 and 23069 is 1.

Also check out the Least Common Multiple of 23057 and 23069