What is the Greatest Common Factor of 11684 and 11698?

Greatest common factor (GCF) of 11684 and 11698 is 2.

GCF(11684,11698) = 2

We will now calculate the prime factors of 11684 and 11698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11684 and 11698.

How to find the GCF of 11684 and 11698?

We will first find the prime factorization of 11684 and 11698. After we will calculate the factors of 11684 and 11698 and find the biggest common factor number .

Step-1: Prime Factorization of 11684

Prime factors of 11684 are 2, 23, 127. Prime factorization of 11684 in exponential form is:

11684 = 2² × 23¹ × 127¹

Step-2: Prime Factorization of 11698

Prime factors of 11698 are 2, 5849. Prime factorization of 11698 in exponential form is:

11698 = 2¹ × 5849¹

Step-3: Factors of 11684

List of positive integer factors of 11684 that divides 11684 without a remainder.

1, 2, 4, 23, 46, 92, 127, 254, 508, 2921, 5842

Step-4: Factors of 11698

List of positive integer factors of 11698 that divides 11684 without a remainder.

1, 2, 5849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11684 and 11698. The biggest common factor number is the GCF number.
So the greatest common factor 11684 and 11698 is 2.

Also check out the Least Common Multiple of 11684 and 11698