What is the Greatest Common Factor of 95805 and 95825?

Greatest common factor (GCF) of 95805 and 95825 is 5.

GCF(95805,95825) = 5

We will now calculate the prime factors of 95805 and 95825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95805 and 95825.

How to find the GCF of 95805 and 95825?

We will first find the prime factorization of 95805 and 95825. After we will calculate the factors of 95805 and 95825 and find the biggest common factor number .

Step-1: Prime Factorization of 95805

Prime factors of 95805 are 3, 5, 2129. Prime factorization of 95805 in exponential form is:

95805 = 3² × 5¹ × 2129¹

Step-2: Prime Factorization of 95825

Prime factors of 95825 are 5, 3833. Prime factorization of 95825 in exponential form is:

95825 = 5² × 3833¹

Step-3: Factors of 95805

List of positive integer factors of 95805 that divides 95805 without a remainder.

1, 3, 5, 9, 15, 45, 2129, 6387, 10645, 19161, 31935

Step-4: Factors of 95825

List of positive integer factors of 95825 that divides 95805 without a remainder.

1, 5, 25, 3833, 19165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95805 and 95825. The biggest common factor number is the GCF number.
So the greatest common factor 95805 and 95825 is 5.

Also check out the Least Common Multiple of 95805 and 95825