What is the Greatest Common Factor of 11908 and 11920?

Greatest common factor (GCF) of 11908 and 11920 is 4.

GCF(11908,11920) = 4

We will now calculate the prime factors of 11908 and 11920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11908 and 11920.

How to find the GCF of 11908 and 11920?

We will first find the prime factorization of 11908 and 11920. After we will calculate the factors of 11908 and 11920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11920

Prime factors of 11920 are 2, 5, 149. Prime factorization of 11920 in exponential form is:

11920 = 2⁴ × 5¹ × 149¹

Step-3: Factors of 11908

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

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

Step-4: Factors of 11920

List of positive integer factors of 11920 that divides 11908 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 149, 298, 596, 745, 1192, 1490, 2384, 2980, 5960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11908 and 11920. The biggest common factor number is the GCF number.
So the greatest common factor 11908 and 11920 is 4.

Also check out the Least Common Multiple of 11908 and 11920