What is the Greatest Common Factor of 11834 and 11852?

Greatest common factor (GCF) of 11834 and 11852 is 2.

GCF(11834,11852) = 2

We will now calculate the prime factors of 11834 and 11852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11834 and 11852.

How to find the GCF of 11834 and 11852?

We will first find the prime factorization of 11834 and 11852. After we will calculate the factors of 11834 and 11852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11852

Prime factors of 11852 are 2, 2963. Prime factorization of 11852 in exponential form is:

11852 = 2² × 2963¹

Step-3: Factors of 11834

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

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

Step-4: Factors of 11852

List of positive integer factors of 11852 that divides 11834 without a remainder.

1, 2, 4, 2963, 5926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11834 and 11852. The biggest common factor number is the GCF number.
So the greatest common factor 11834 and 11852 is 2.

Also check out the Least Common Multiple of 11834 and 11852