What is the Greatest Common Factor of 95300 and 95305?

Greatest common factor (GCF) of 95300 and 95305 is 5.

GCF(95300,95305) = 5

We will now calculate the prime factors of 95300 and 95305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95300 and 95305.

How to find the GCF of 95300 and 95305?

We will first find the prime factorization of 95300 and 95305. After we will calculate the factors of 95300 and 95305 and find the biggest common factor number .

Step-1: Prime Factorization of 95300

Prime factors of 95300 are 2, 5, 953. Prime factorization of 95300 in exponential form is:

95300 = 2² × 5² × 953¹

Step-2: 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-3: Factors of 95300

List of positive integer factors of 95300 that divides 95300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 953, 1906, 3812, 4765, 9530, 19060, 23825, 47650

Step-4: Factors of 95305

List of positive integer factors of 95305 that divides 95300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95300 and 95305. The biggest common factor number is the GCF number.
So the greatest common factor 95300 and 95305 is 5.

Also check out the Least Common Multiple of 95300 and 95305