What is the Greatest Common Factor of 11896 and 11916?

Greatest common factor (GCF) of 11896 and 11916 is 4.

GCF(11896,11916) = 4

We will now calculate the prime factors of 11896 and 11916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11896 and 11916.

How to find the GCF of 11896 and 11916?

We will first find the prime factorization of 11896 and 11916. After we will calculate the factors of 11896 and 11916 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 11916

Prime factors of 11916 are 2, 3, 331. Prime factorization of 11916 in exponential form is:

11916 = 2² × 3² × 331¹

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 11916

List of positive integer factors of 11916 that divides 11896 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 331, 662, 993, 1324, 1986, 2979, 3972, 5958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11896 and 11916. The biggest common factor number is the GCF number.
So the greatest common factor 11896 and 11916 is 4.

Also check out the Least Common Multiple of 11896 and 11916