What is the Greatest Common Factor of 95305 and 95325?

Greatest common factor (GCF) of 95305 and 95325 is 5.

GCF(95305,95325) = 5

We will now calculate the prime factors of 95305 and 95325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95305 and 95325.

How to find the GCF of 95305 and 95325?

We will first find the prime factorization of 95305 and 95325. After we will calculate the factors of 95305 and 95325 and find the biggest common factor number .

Step-1: Prime Factorization of 95305

Prime factors of 95305 are 5, 7, 389. Prime factorization of 95305 in exponential form is:

95305 = 5¹ × 7² × 389¹

Step-2: Prime Factorization of 95325

Prime factors of 95325 are 3, 5, 31, 41. Prime factorization of 95325 in exponential form is:

95325 = 3¹ × 5² × 31¹ × 41¹

Step-3: Factors of 95305

List of positive integer factors of 95305 that divides 95305 without a remainder.

1, 5, 7, 35, 49, 245, 389, 1945, 2723, 13615, 19061

Step-4: Factors of 95325

List of positive integer factors of 95325 that divides 95305 without a remainder.

1, 3, 5, 15, 25, 31, 41, 75, 93, 123, 155, 205, 465, 615, 775, 1025, 1271, 2325, 3075, 3813, 6355, 19065, 31775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95305 and 95325. The biggest common factor number is the GCF number.
So the greatest common factor 95305 and 95325 is 5.

Also check out the Least Common Multiple of 95305 and 95325