What is the Greatest Common Factor of 11688 and 11708?

Greatest common factor (GCF) of 11688 and 11708 is 4.

GCF(11688,11708) = 4

We will now calculate the prime factors of 11688 and 11708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11688 and 11708.

How to find the GCF of 11688 and 11708?

We will first find the prime factorization of 11688 and 11708. After we will calculate the factors of 11688 and 11708 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 11708

Prime factors of 11708 are 2, 2927. Prime factorization of 11708 in exponential form is:

11708 = 2² × 2927¹

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 11708

List of positive integer factors of 11708 that divides 11688 without a remainder.

1, 2, 4, 2927, 5854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11688 and 11708. The biggest common factor number is the GCF number.
So the greatest common factor 11688 and 11708 is 4.

Also check out the Least Common Multiple of 11688 and 11708