What is the Greatest Common Factor of 11688 and 11702?

Greatest common factor (GCF) of 11688 and 11702 is 2.

GCF(11688,11702) = 2

We will now calculate the prime factors of 11688 and 11702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11688 and 11702.

How to find the GCF of 11688 and 11702?

We will first find the prime factorization of 11688 and 11702. After we will calculate the factors of 11688 and 11702 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 11702

Prime factors of 11702 are 2, 5851. Prime factorization of 11702 in exponential form is:

11702 = 2¹ × 5851¹

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 11702

List of positive integer factors of 11702 that divides 11688 without a remainder.

1, 2, 5851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11688 and 11702. The biggest common factor number is the GCF number.
So the greatest common factor 11688 and 11702 is 2.

Also check out the Least Common Multiple of 11688 and 11702