What is the Greatest Common Factor of 11888 and 11903?

Greatest common factor (GCF) of 11888 and 11903 is 1.

GCF(11888,11903) = 1

We will now calculate the prime factors of 11888 and 11903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11888 and 11903.

How to find the GCF of 11888 and 11903?

We will first find the prime factorization of 11888 and 11903. After we will calculate the factors of 11888 and 11903 and find the biggest common factor number .

Step-1: Prime Factorization of 11888

Prime factors of 11888 are 2, 743. Prime factorization of 11888 in exponential form is:

11888 = 2⁴ × 743¹

Step-2: Prime Factorization of 11903

Prime factors of 11903 are 11903. Prime factorization of 11903 in exponential form is:

11903 = 11903¹

Step-3: Factors of 11888

List of positive integer factors of 11888 that divides 11888 without a remainder.

1, 2, 4, 8, 16, 743, 1486, 2972, 5944

Step-4: Factors of 11903

List of positive integer factors of 11903 that divides 11888 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11888 and 11903. The biggest common factor number is the GCF number.
So the greatest common factor 11888 and 11903 is 1.

Also check out the Least Common Multiple of 11888 and 11903