What is the Greatest Common Factor of 11814 and 11829?

Greatest common factor (GCF) of 11814 and 11829 is 3.

GCF(11814,11829) = 3

We will now calculate the prime factors of 11814 and 11829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11814 and 11829.

How to find the GCF of 11814 and 11829?

We will first find the prime factorization of 11814 and 11829. After we will calculate the factors of 11814 and 11829 and find the biggest common factor number .

Step-1: Prime Factorization of 11814

Prime factors of 11814 are 2, 3, 11, 179. Prime factorization of 11814 in exponential form is:

11814 = 2¹ × 3¹ × 11¹ × 179¹

Step-2: Prime Factorization of 11829

Prime factors of 11829 are 3, 3943. Prime factorization of 11829 in exponential form is:

11829 = 3¹ × 3943¹

Step-3: Factors of 11814

List of positive integer factors of 11814 that divides 11814 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 179, 358, 537, 1074, 1969, 3938, 5907

Step-4: Factors of 11829

List of positive integer factors of 11829 that divides 11814 without a remainder.

1, 3, 3943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11814 and 11829. The biggest common factor number is the GCF number.
So the greatest common factor 11814 and 11829 is 3.

Also check out the Least Common Multiple of 11814 and 11829