What is the Greatest Common Factor of 11825 and 11835?

Greatest common factor (GCF) of 11825 and 11835 is 5.

GCF(11825,11835) = 5

We will now calculate the prime factors of 11825 and 11835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11825 and 11835.

How to find the GCF of 11825 and 11835?

We will first find the prime factorization of 11825 and 11835. After we will calculate the factors of 11825 and 11835 and find the biggest common factor number .

Step-1: Prime Factorization of 11825

Prime factors of 11825 are 5, 11, 43. Prime factorization of 11825 in exponential form is:

11825 = 5² × 11¹ × 43¹

Step-2: 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-3: Factors of 11825

List of positive integer factors of 11825 that divides 11825 without a remainder.

1, 5, 11, 25, 43, 55, 215, 275, 473, 1075, 2365

Step-4: Factors of 11835

List of positive integer factors of 11835 that divides 11825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11825 and 11835. The biggest common factor number is the GCF number.
So the greatest common factor 11825 and 11835 is 5.

Also check out the Least Common Multiple of 11825 and 11835