What is the Greatest Common Factor of 95115 and 95130?

Greatest common factor (GCF) of 95115 and 95130 is 15.

GCF(95115,95130) = 15

We will now calculate the prime factors of 95115 and 95130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95115 and 95130.

How to find the GCF of 95115 and 95130?

We will first find the prime factorization of 95115 and 95130. After we will calculate the factors of 95115 and 95130 and find the biggest common factor number .

Step-1: Prime Factorization of 95115

Prime factors of 95115 are 3, 5, 17, 373. Prime factorization of 95115 in exponential form is:

95115 = 3¹ × 5¹ × 17¹ × 373¹

Step-2: Prime Factorization of 95130

Prime factors of 95130 are 2, 3, 5, 7, 151. Prime factorization of 95130 in exponential form is:

95130 = 2¹ × 3² × 5¹ × 7¹ × 151¹

Step-3: Factors of 95115

List of positive integer factors of 95115 that divides 95115 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 373, 1119, 1865, 5595, 6341, 19023, 31705

Step-4: Factors of 95130

List of positive integer factors of 95130 that divides 95115 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 151, 210, 302, 315, 453, 630, 755, 906, 1057, 1359, 1510, 2114, 2265, 2718, 3171, 4530, 5285, 6342, 6795, 9513, 10570, 13590, 15855, 19026, 31710, 47565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95115 and 95130. The biggest common factor number is the GCF number.
So the greatest common factor 95115 and 95130 is 15.

Also check out the Least Common Multiple of 95115 and 95130