What is the Greatest Common Factor of 11835 and 11850?

Greatest common factor (GCF) of 11835 and 11850 is 15.

GCF(11835,11850) = 15

We will now calculate the prime factors of 11835 and 11850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11835 and 11850.

How to find the GCF of 11835 and 11850?

We will first find the prime factorization of 11835 and 11850. After we will calculate the factors of 11835 and 11850 and find the biggest common factor number .

Step-1: Prime Factorization of 11835

Prime factors of 11835 are 3, 5, 263. Prime factorization of 11835 in exponential form is:

11835 = 3² × 5¹ × 263¹

Step-2: Prime Factorization of 11850

Prime factors of 11850 are 2, 3, 5, 79. Prime factorization of 11850 in exponential form is:

11850 = 2¹ × 3¹ × 5² × 79¹

Step-3: Factors of 11835

List of positive integer factors of 11835 that divides 11835 without a remainder.

1, 3, 5, 9, 15, 45, 263, 789, 1315, 2367, 3945

Step-4: Factors of 11850

List of positive integer factors of 11850 that divides 11835 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 79, 150, 158, 237, 395, 474, 790, 1185, 1975, 2370, 3950, 5925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11835 and 11850. The biggest common factor number is the GCF number.
So the greatest common factor 11835 and 11850 is 15.

Also check out the Least Common Multiple of 11835 and 11850