What is the Greatest Common Factor of 11675 and 11695?

Greatest common factor (GCF) of 11675 and 11695 is 5.

GCF(11675,11695) = 5

We will now calculate the prime factors of 11675 and 11695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11675 and 11695.

How to find the GCF of 11675 and 11695?

We will first find the prime factorization of 11675 and 11695. After we will calculate the factors of 11675 and 11695 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 11695

Prime factors of 11695 are 5, 2339. Prime factorization of 11695 in exponential form is:

11695 = 5¹ × 2339¹

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 11695

List of positive integer factors of 11695 that divides 11675 without a remainder.

1, 5, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11675 and 11695. The biggest common factor number is the GCF number.
So the greatest common factor 11675 and 11695 is 5.

Also check out the Least Common Multiple of 11675 and 11695