What is the Greatest Common Factor of 23765 and 23771?

Greatest common factor (GCF) of 23765 and 23771 is 1.

GCF(23765,23771) = 1

We will now calculate the prime factors of 23765 and 23771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23765 and 23771.

How to find the GCF of 23765 and 23771?

We will first find the prime factorization of 23765 and 23771. After we will calculate the factors of 23765 and 23771 and find the biggest common factor number .

Step-1: Prime Factorization of 23765

Prime factors of 23765 are 5, 7, 97. Prime factorization of 23765 in exponential form is:

23765 = 5¹ × 7² × 97¹

Step-2: Prime Factorization of 23771

Prime factors of 23771 are 11, 2161. Prime factorization of 23771 in exponential form is:

23771 = 11¹ × 2161¹

Step-3: Factors of 23765

List of positive integer factors of 23765 that divides 23765 without a remainder.

1, 5, 7, 35, 49, 97, 245, 485, 679, 3395, 4753

Step-4: Factors of 23771

List of positive integer factors of 23771 that divides 23765 without a remainder.

1, 11, 2161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23765 and 23771. The biggest common factor number is the GCF number.
So the greatest common factor 23765 and 23771 is 1.

Also check out the Least Common Multiple of 23765 and 23771