What is the Greatest Common Factor of 95013 and 95030?

Greatest common factor (GCF) of 95013 and 95030 is 17.

GCF(95013,95030) = 17

We will now calculate the prime factors of 95013 and 95030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95013 and 95030.

How to find the GCF of 95013 and 95030?

We will first find the prime factorization of 95013 and 95030. After we will calculate the factors of 95013 and 95030 and find the biggest common factor number .

Step-1: Prime Factorization of 95013

Prime factors of 95013 are 3, 17, 23. Prime factorization of 95013 in exponential form is:

95013 = 3⁵ × 17¹ × 23¹

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 95013

List of positive integer factors of 95013 that divides 95013 without a remainder.

1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 243, 391, 459, 621, 1173, 1377, 1863, 3519, 4131, 5589, 10557, 31671

Step-4: Factors of 95030

List of positive integer factors of 95030 that divides 95013 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 95013 and 95030. The biggest common factor number is the GCF number.
So the greatest common factor 95013 and 95030 is 17.

Also check out the Least Common Multiple of 95013 and 95030