What is the Greatest Common Factor of 95305 and 95310?

Greatest common factor (GCF) of 95305 and 95310 is 5.

GCF(95305,95310) = 5

We will now calculate the prime factors of 95305 and 95310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95305 and 95310.

How to find the GCF of 95305 and 95310?

We will first find the prime factorization of 95305 and 95310. After we will calculate the factors of 95305 and 95310 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 95310

Prime factors of 95310 are 2, 3, 5, 353. Prime factorization of 95310 in exponential form is:

95310 = 2¹ × 3³ × 5¹ × 353¹

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 95310

List of positive integer factors of 95310 that divides 95305 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 353, 706, 1059, 1765, 2118, 3177, 3530, 5295, 6354, 9531, 10590, 15885, 19062, 31770, 47655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95305 and 95310. The biggest common factor number is the GCF number.
So the greatest common factor 95305 and 95310 is 5.

Also check out the Least Common Multiple of 95305 and 95310