What is the Greatest Common Factor of 11858 and 11872?

Greatest common factor (GCF) of 11858 and 11872 is 14.

GCF(11858,11872) = 14

We will now calculate the prime factors of 11858 and 11872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11858 and 11872.

How to find the GCF of 11858 and 11872?

We will first find the prime factorization of 11858 and 11872. After we will calculate the factors of 11858 and 11872 and find the biggest common factor number .

Step-1: Prime Factorization of 11858

Prime factors of 11858 are 2, 7, 11. Prime factorization of 11858 in exponential form is:

11858 = 2¹ × 7² × 11²

Step-2: Prime Factorization of 11872

Prime factors of 11872 are 2, 7, 53. Prime factorization of 11872 in exponential form is:

11872 = 2⁵ × 7¹ × 53¹

Step-3: Factors of 11858

List of positive integer factors of 11858 that divides 11858 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 121, 154, 242, 539, 847, 1078, 1694, 5929

Step-4: Factors of 11872

List of positive integer factors of 11872 that divides 11858 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 106, 112, 212, 224, 371, 424, 742, 848, 1484, 1696, 2968, 5936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11858 and 11872. The biggest common factor number is the GCF number.
So the greatest common factor 11858 and 11872 is 14.

Also check out the Least Common Multiple of 11858 and 11872