What is the Greatest Common Factor of 36805 and 36825?

Greatest common factor (GCF) of 36805 and 36825 is 5.

GCF(36805,36825) = 5

We will now calculate the prime factors of 36805 and 36825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36805 and 36825.

How to find the GCF of 36805 and 36825?

We will first find the prime factorization of 36805 and 36825. After we will calculate the factors of 36805 and 36825 and find the biggest common factor number .

Step-1: Prime Factorization of 36805

Prime factors of 36805 are 5, 17, 433. Prime factorization of 36805 in exponential form is:

36805 = 5¹ × 17¹ × 433¹

Step-2: Prime Factorization of 36825

Prime factors of 36825 are 3, 5, 491. Prime factorization of 36825 in exponential form is:

36825 = 3¹ × 5² × 491¹

Step-3: Factors of 36805

List of positive integer factors of 36805 that divides 36805 without a remainder.

1, 5, 17, 85, 433, 2165, 7361

Step-4: Factors of 36825

List of positive integer factors of 36825 that divides 36805 without a remainder.

1, 3, 5, 15, 25, 75, 491, 1473, 2455, 7365, 12275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36805 and 36825. The biggest common factor number is the GCF number.
So the greatest common factor 36805 and 36825 is 5.

Also check out the Least Common Multiple of 36805 and 36825