What is the Greatest Common Factor of 11872 and 11885?

Greatest common factor (GCF) of 11872 and 11885 is 1.

GCF(11872,11885) = 1

We will now calculate the prime factors of 11872 and 11885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11872 and 11885.

How to find the GCF of 11872 and 11885?

We will first find the prime factorization of 11872 and 11885. After we will calculate the factors of 11872 and 11885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11885

Prime factors of 11885 are 5, 2377. Prime factorization of 11885 in exponential form is:

11885 = 5¹ × 2377¹

Step-3: Factors of 11872

List of positive integer factors of 11872 that divides 11872 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

Step-4: Factors of 11885

List of positive integer factors of 11885 that divides 11872 without a remainder.

1, 5, 2377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11872 and 11885. The biggest common factor number is the GCF number.
So the greatest common factor 11872 and 11885 is 1.

Also check out the Least Common Multiple of 11872 and 11885