What is the Greatest Common Factor of 11896 and 11908?

Greatest common factor (GCF) of 11896 and 11908 is 4.

GCF(11896,11908) = 4

We will now calculate the prime factors of 11896 and 11908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11896 and 11908.

How to find the GCF of 11896 and 11908?

We will first find the prime factorization of 11896 and 11908. After we will calculate the factors of 11896 and 11908 and find the biggest common factor number .

Step-1: Prime Factorization of 11896

Prime factors of 11896 are 2, 1487. Prime factorization of 11896 in exponential form is:

11896 = 2³ × 1487¹

Step-2: Prime Factorization of 11908

Prime factors of 11908 are 2, 13, 229. Prime factorization of 11908 in exponential form is:

11908 = 2² × 13¹ × 229¹

Step-3: Factors of 11896

List of positive integer factors of 11896 that divides 11896 without a remainder.

1, 2, 4, 8, 1487, 2974, 5948

Step-4: Factors of 11908

List of positive integer factors of 11908 that divides 11896 without a remainder.

1, 2, 4, 13, 26, 52, 229, 458, 916, 2977, 5954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11896 and 11908. The biggest common factor number is the GCF number.
So the greatest common factor 11896 and 11908 is 4.

Also check out the Least Common Multiple of 11896 and 11908