What is the Greatest Common Factor of 11814 and 11834?

Greatest common factor (GCF) of 11814 and 11834 is 2.

GCF(11814,11834) = 2

We will now calculate the prime factors of 11814 and 11834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11814 and 11834.

How to find the GCF of 11814 and 11834?

We will first find the prime factorization of 11814 and 11834. After we will calculate the factors of 11814 and 11834 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 11834

Prime factors of 11834 are 2, 61, 97. Prime factorization of 11834 in exponential form is:

11834 = 2¹ × 61¹ × 97¹

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 11834

List of positive integer factors of 11834 that divides 11814 without a remainder.

1, 2, 61, 97, 122, 194, 5917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11814 and 11834. The biggest common factor number is the GCF number.
So the greatest common factor 11814 and 11834 is 2.

Also check out the Least Common Multiple of 11814 and 11834