What is the Greatest Common Factor of 23069 and 23077?

Greatest common factor (GCF) of 23069 and 23077 is 1.

GCF(23069,23077) = 1

We will now calculate the prime factors of 23069 and 23077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23069 and 23077.

How to find the GCF of 23069 and 23077?

We will first find the prime factorization of 23069 and 23077. After we will calculate the factors of 23069 and 23077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23077

Prime factors of 23077 are 47, 491. Prime factorization of 23077 in exponential form is:

23077 = 47¹ × 491¹

Step-3: Factors of 23069

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

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

Step-4: Factors of 23077

List of positive integer factors of 23077 that divides 23069 without a remainder.

1, 47, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23069 and 23077. The biggest common factor number is the GCF number.
So the greatest common factor 23069 and 23077 is 1.

Also check out the Least Common Multiple of 23069 and 23077