What is the Greatest Common Factor of 11657 and 11665?

Greatest common factor (GCF) of 11657 and 11665 is 1.

GCF(11657,11665) = 1

We will now calculate the prime factors of 11657 and 11665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11657 and 11665.

How to find the GCF of 11657 and 11665?

We will first find the prime factorization of 11657 and 11665. After we will calculate the factors of 11657 and 11665 and find the biggest common factor number .

Step-1: Prime Factorization of 11657

Prime factors of 11657 are 11657. Prime factorization of 11657 in exponential form is:

11657 = 11657¹

Step-2: Prime Factorization of 11665

Prime factors of 11665 are 5, 2333. Prime factorization of 11665 in exponential form is:

11665 = 5¹ × 2333¹

Step-3: Factors of 11657

List of positive integer factors of 11657 that divides 11657 without a remainder.

Step-4: Factors of 11665

List of positive integer factors of 11665 that divides 11657 without a remainder.

1, 5, 2333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11657 and 11665. The biggest common factor number is the GCF number.
So the greatest common factor 11657 and 11665 is 1.

Also check out the Least Common Multiple of 11657 and 11665