What is the Greatest Common Factor of 11925 and 11940?

Greatest common factor (GCF) of 11925 and 11940 is 15.

GCF(11925,11940) = 15

We will now calculate the prime factors of 11925 and 11940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11925 and 11940.

How to find the GCF of 11925 and 11940?

We will first find the prime factorization of 11925 and 11940. After we will calculate the factors of 11925 and 11940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11940

Prime factors of 11940 are 2, 3, 5, 199. Prime factorization of 11940 in exponential form is:

11940 = 2² × 3¹ × 5¹ × 199¹

Step-3: Factors of 11925

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

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

Step-4: Factors of 11940

List of positive integer factors of 11940 that divides 11925 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 199, 398, 597, 796, 995, 1194, 1990, 2388, 2985, 3980, 5970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11925 and 11940. The biggest common factor number is the GCF number.
So the greatest common factor 11925 and 11940 is 15.

Also check out the Least Common Multiple of 11925 and 11940