What is the Greatest Common Factor of 11872 and 11879?

Greatest common factor (GCF) of 11872 and 11879 is 7.

GCF(11872,11879) = 7

We will now calculate the prime factors of 11872 and 11879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11872 and 11879.

How to find the GCF of 11872 and 11879?

We will first find the prime factorization of 11872 and 11879. After we will calculate the factors of 11872 and 11879 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 11879

Prime factors of 11879 are 7, 1697. Prime factorization of 11879 in exponential form is:

11879 = 7¹ × 1697¹

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 11879

List of positive integer factors of 11879 that divides 11872 without a remainder.

1, 7, 1697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11872 and 11879. The biggest common factor number is the GCF number.
So the greatest common factor 11872 and 11879 is 7.

Also check out the Least Common Multiple of 11872 and 11879