What is the Greatest Common Factor of 11898 and 11908?

Greatest common factor (GCF) of 11898 and 11908 is 2.

GCF(11898,11908) = 2

We will now calculate the prime factors of 11898 and 11908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11898 and 11908.

How to find the GCF of 11898 and 11908?

We will first find the prime factorization of 11898 and 11908. After we will calculate the factors of 11898 and 11908 and find the biggest common factor number .

Step-1: Prime Factorization of 11898

Prime factors of 11898 are 2, 3, 661. Prime factorization of 11898 in exponential form is:

11898 = 2¹ × 3² × 661¹

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 11898

List of positive integer factors of 11898 that divides 11898 without a remainder.

1, 2, 3, 6, 9, 18, 661, 1322, 1983, 3966, 5949

Step-4: Factors of 11908

List of positive integer factors of 11908 that divides 11898 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 11898 and 11908. The biggest common factor number is the GCF number.
So the greatest common factor 11898 and 11908 is 2.

Also check out the Least Common Multiple of 11898 and 11908