What is the Greatest Common Factor of 95160 and 95175?

Greatest common factor (GCF) of 95160 and 95175 is 15.

GCF(95160,95175) = 15

We will now calculate the prime factors of 95160 and 95175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95160 and 95175.

How to find the GCF of 95160 and 95175?

We will first find the prime factorization of 95160 and 95175. After we will calculate the factors of 95160 and 95175 and find the biggest common factor number .

Step-1: Prime Factorization of 95160

Prime factors of 95160 are 2, 3, 5, 13, 61. Prime factorization of 95160 in exponential form is:

95160 = 2³ × 3¹ × 5¹ × 13¹ × 61¹

Step-2: Prime Factorization of 95175

Prime factors of 95175 are 3, 5, 47. Prime factorization of 95175 in exponential form is:

95175 = 3⁴ × 5² × 47¹

Step-3: Factors of 95160

List of positive integer factors of 95160 that divides 95160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 61, 65, 78, 104, 120, 122, 130, 156, 183, 195, 244, 260, 305, 312, 366, 390, 488, 520, 610, 732, 780, 793, 915, 1220, 1464, 1560, 1586, 1830, 2379, 2440, 3172, 3660, 3965, 4758, 6344, 7320, 7930, 9516, 11895, 15860, 19032, 23790, 31720, 47580

Step-4: Factors of 95175

List of positive integer factors of 95175 that divides 95160 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 47, 75, 81, 135, 141, 225, 235, 405, 423, 675, 705, 1175, 1269, 2025, 2115, 3525, 3807, 6345, 10575, 19035, 31725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95160 and 95175. The biggest common factor number is the GCF number.
So the greatest common factor 95160 and 95175 is 15.

Also check out the Least Common Multiple of 95160 and 95175