What is the Greatest Common Factor of 11905 and 11925?

Greatest common factor (GCF) of 11905 and 11925 is 5.

GCF(11905,11925) = 5

We will now calculate the prime factors of 11905 and 11925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11905 and 11925.

How to find the GCF of 11905 and 11925?

We will first find the prime factorization of 11905 and 11925. After we will calculate the factors of 11905 and 11925 and find the biggest common factor number .

Step-1: Prime Factorization of 11905

Prime factors of 11905 are 5, 2381. Prime factorization of 11905 in exponential form is:

11905 = 5¹ × 2381¹

Step-2: Prime Factorization of 11925

Prime factors of 11925 are 3, 5, 53. Prime factorization of 11925 in exponential form is:

11925 = 3² × 5² × 53¹

Step-3: Factors of 11905

List of positive integer factors of 11905 that divides 11905 without a remainder.

1, 5, 2381

Step-4: Factors of 11925

List of positive integer factors of 11925 that divides 11905 without a remainder.

1, 3, 5, 9, 15, 25, 45, 53, 75, 159, 225, 265, 477, 795, 1325, 2385, 3975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11905 and 11925. The biggest common factor number is the GCF number.
So the greatest common factor 11905 and 11925 is 5.

Also check out the Least Common Multiple of 11905 and 11925