What is the Greatest Common Factor of 11872 and 11876?

Greatest common factor (GCF) of 11872 and 11876 is 4.

GCF(11872,11876) = 4

We will now calculate the prime factors of 11872 and 11876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11872 and 11876.

How to find the GCF of 11872 and 11876?

We will first find the prime factorization of 11872 and 11876. After we will calculate the factors of 11872 and 11876 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 11876

Prime factors of 11876 are 2, 2969. Prime factorization of 11876 in exponential form is:

11876 = 2² × 2969¹

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 11876

List of positive integer factors of 11876 that divides 11872 without a remainder.

1, 2, 4, 2969, 5938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11872 and 11876. The biggest common factor number is the GCF number.
So the greatest common factor 11872 and 11876 is 4.

Also check out the Least Common Multiple of 11872 and 11876