What is the Greatest Common Factor of 11688 and 11695?

Greatest common factor (GCF) of 11688 and 11695 is 1.

GCF(11688,11695) = 1

We will now calculate the prime factors of 11688 and 11695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11688 and 11695.

How to find the GCF of 11688 and 11695?

We will first find the prime factorization of 11688 and 11695. After we will calculate the factors of 11688 and 11695 and find the biggest common factor number .

Step-1: Prime Factorization of 11688

Prime factors of 11688 are 2, 3, 487. Prime factorization of 11688 in exponential form is:

11688 = 2³ × 3¹ × 487¹

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 11688

List of positive integer factors of 11688 that divides 11688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 487, 974, 1461, 1948, 2922, 3896, 5844

Step-4: Factors of 11695

List of positive integer factors of 11695 that divides 11688 without a remainder.

1, 5, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11688 and 11695. The biggest common factor number is the GCF number.
So the greatest common factor 11688 and 11695 is 1.

Also check out the Least Common Multiple of 11688 and 11695