What is the Greatest Common Factor of 11829 and 11847?

Greatest common factor (GCF) of 11829 and 11847 is 3.

GCF(11829,11847) = 3

We will now calculate the prime factors of 11829 and 11847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11829 and 11847.

How to find the GCF of 11829 and 11847?

We will first find the prime factorization of 11829 and 11847. After we will calculate the factors of 11829 and 11847 and find the biggest common factor number .

Step-1: Prime Factorization of 11829

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

11829 = 3¹ × 3943¹

Step-2: Prime Factorization of 11847

Prime factors of 11847 are 3, 11, 359. Prime factorization of 11847 in exponential form is:

11847 = 3¹ × 11¹ × 359¹

Step-3: Factors of 11829

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

1, 3, 3943

Step-4: Factors of 11847

List of positive integer factors of 11847 that divides 11829 without a remainder.

1, 3, 11, 33, 359, 1077, 3949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11829 and 11847. The biggest common factor number is the GCF number.
So the greatest common factor 11829 and 11847 is 3.

Also check out the Least Common Multiple of 11829 and 11847