What is the Greatest Common Factor of 23067 and 23077?

Greatest common factor (GCF) of 23067 and 23077 is 1.

GCF(23067,23077) = 1

We will now calculate the prime factors of 23067 and 23077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23067 and 23077.

How to find the GCF of 23067 and 23077?

We will first find the prime factorization of 23067 and 23077. After we will calculate the factors of 23067 and 23077 and find the biggest common factor number .

Step-1: Prime Factorization of 23067

Prime factors of 23067 are 3, 11, 233. Prime factorization of 23067 in exponential form is:

23067 = 3² × 11¹ × 233¹

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 23067

List of positive integer factors of 23067 that divides 23067 without a remainder.

1, 3, 9, 11, 33, 99, 233, 699, 2097, 2563, 7689

Step-4: Factors of 23077

List of positive integer factors of 23077 that divides 23067 without a remainder.

1, 47, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23067 and 23077. The biggest common factor number is the GCF number.
So the greatest common factor 23067 and 23077 is 1.

Also check out the Least Common Multiple of 23067 and 23077