What is the Greatest Common Factor of 95017 and 95030?

Greatest common factor (GCF) of 95017 and 95030 is 13.

GCF(95017,95030) = 13

We will now calculate the prime factors of 95017 and 95030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95017 and 95030.

How to find the GCF of 95017 and 95030?

We will first find the prime factorization of 95017 and 95030. After we will calculate the factors of 95017 and 95030 and find the biggest common factor number .

Step-1: Prime Factorization of 95017

Prime factors of 95017 are 13, 7309. Prime factorization of 95017 in exponential form is:

95017 = 13¹ × 7309¹

Step-2: Prime Factorization of 95030

Prime factors of 95030 are 2, 5, 13, 17, 43. Prime factorization of 95030 in exponential form is:

95030 = 2¹ × 5¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 95017

List of positive integer factors of 95017 that divides 95017 without a remainder.

1, 13, 7309

Step-4: Factors of 95030

List of positive integer factors of 95030 that divides 95017 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 43, 65, 85, 86, 130, 170, 215, 221, 430, 442, 559, 731, 1105, 1118, 1462, 2210, 2795, 3655, 5590, 7310, 9503, 19006, 47515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95017 and 95030. The biggest common factor number is the GCF number.
So the greatest common factor 95017 and 95030 is 13.

Also check out the Least Common Multiple of 95017 and 95030