What is the Greatest Common Factor of 11805 and 11814?

Greatest common factor (GCF) of 11805 and 11814 is 3.

GCF(11805,11814) = 3

We will now calculate the prime factors of 11805 and 11814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11805 and 11814.

How to find the GCF of 11805 and 11814?

We will first find the prime factorization of 11805 and 11814. After we will calculate the factors of 11805 and 11814 and find the biggest common factor number .

Step-1: Prime Factorization of 11805

Prime factors of 11805 are 3, 5, 787. Prime factorization of 11805 in exponential form is:

11805 = 3¹ × 5¹ × 787¹

Step-2: 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-3: Factors of 11805

List of positive integer factors of 11805 that divides 11805 without a remainder.

1, 3, 5, 15, 787, 2361, 3935

Step-4: Factors of 11814

List of positive integer factors of 11814 that divides 11805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11805 and 11814. The biggest common factor number is the GCF number.
So the greatest common factor 11805 and 11814 is 3.

Also check out the Least Common Multiple of 11805 and 11814