What is the Greatest Common Factor of 95100 and 95115?

Greatest common factor (GCF) of 95100 and 95115 is 15.

GCF(95100,95115) = 15

We will now calculate the prime factors of 95100 and 95115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95100 and 95115.

How to find the GCF of 95100 and 95115?

We will first find the prime factorization of 95100 and 95115. After we will calculate the factors of 95100 and 95115 and find the biggest common factor number .

Step-1: Prime Factorization of 95100

Prime factors of 95100 are 2, 3, 5, 317. Prime factorization of 95100 in exponential form is:

95100 = 2² × 3¹ × 5² × 317¹

Step-2: 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-3: Factors of 95100

List of positive integer factors of 95100 that divides 95100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 317, 634, 951, 1268, 1585, 1902, 3170, 3804, 4755, 6340, 7925, 9510, 15850, 19020, 23775, 31700, 47550

Step-4: Factors of 95115

List of positive integer factors of 95115 that divides 95100 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95100 and 95115. The biggest common factor number is the GCF number.
So the greatest common factor 95100 and 95115 is 15.

Also check out the Least Common Multiple of 95100 and 95115