What is the Greatest Common Factor of 75805 and 75825?

Greatest common factor (GCF) of 75805 and 75825 is 5.

GCF(75805,75825) = 5

We will now calculate the prime factors of 75805 and 75825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75805 and 75825.

How to find the GCF of 75805 and 75825?

We will first find the prime factorization of 75805 and 75825. After we will calculate the factors of 75805 and 75825 and find the biggest common factor number .

Step-1: Prime Factorization of 75805

Prime factors of 75805 are 5, 15161. Prime factorization of 75805 in exponential form is:

75805 = 5¹ × 15161¹

Step-2: Prime Factorization of 75825

Prime factors of 75825 are 3, 5, 337. Prime factorization of 75825 in exponential form is:

75825 = 3² × 5² × 337¹

Step-3: Factors of 75805

List of positive integer factors of 75805 that divides 75805 without a remainder.

1, 5, 15161

Step-4: Factors of 75825

List of positive integer factors of 75825 that divides 75805 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 337, 1011, 1685, 3033, 5055, 8425, 15165, 25275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75805 and 75825. The biggest common factor number is the GCF number.
So the greatest common factor 75805 and 75825 is 5.

Also check out the Least Common Multiple of 75805 and 75825