What is the Greatest Common Factor of 23077 and 23092?

Greatest common factor (GCF) of 23077 and 23092 is 1.

GCF(23077,23092) = 1

We will now calculate the prime factors of 23077 and 23092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23077 and 23092.

How to find the GCF of 23077 and 23092?

We will first find the prime factorization of 23077 and 23092. After we will calculate the factors of 23077 and 23092 and find the biggest common factor number .

Step-1: Prime Factorization of 23077

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

23077 = 47¹ × 491¹

Step-2: Prime Factorization of 23092

Prime factors of 23092 are 2, 23, 251. Prime factorization of 23092 in exponential form is:

23092 = 2² × 23¹ × 251¹

Step-3: Factors of 23077

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

1, 47, 491

Step-4: Factors of 23092

List of positive integer factors of 23092 that divides 23077 without a remainder.

1, 2, 4, 23, 46, 92, 251, 502, 1004, 5773, 11546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23077 and 23092. The biggest common factor number is the GCF number.
So the greatest common factor 23077 and 23092 is 1.

Also check out the Least Common Multiple of 23077 and 23092