What is the Greatest Common Factor of 11675 and 11689?

Greatest common factor (GCF) of 11675 and 11689 is 1.

GCF(11675,11689) = 1

We will now calculate the prime factors of 11675 and 11689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11675 and 11689.

How to find the GCF of 11675 and 11689?

We will first find the prime factorization of 11675 and 11689. After we will calculate the factors of 11675 and 11689 and find the biggest common factor number .

Step-1: Prime Factorization of 11675

Prime factors of 11675 are 5, 467. Prime factorization of 11675 in exponential form is:

11675 = 5² × 467¹

Step-2: Prime Factorization of 11689

Prime factors of 11689 are 11689. Prime factorization of 11689 in exponential form is:

11689 = 11689¹

Step-3: Factors of 11675

List of positive integer factors of 11675 that divides 11675 without a remainder.

1, 5, 25, 467, 2335

Step-4: Factors of 11689

List of positive integer factors of 11689 that divides 11675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11675 and 11689. The biggest common factor number is the GCF number.
So the greatest common factor 11675 and 11689 is 1.

Also check out the Least Common Multiple of 11675 and 11689