What is the Greatest Common Factor of 95145 and 95160?

Greatest common factor (GCF) of 95145 and 95160 is 15.

GCF(95145,95160) = 15

We will now calculate the prime factors of 95145 and 95160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95145 and 95160.

How to find the GCF of 95145 and 95160?

We will first find the prime factorization of 95145 and 95160. After we will calculate the factors of 95145 and 95160 and find the biggest common factor number .

Step-1: Prime Factorization of 95145

Prime factors of 95145 are 3, 5, 6343. Prime factorization of 95145 in exponential form is:

95145 = 3¹ × 5¹ × 6343¹

Step-2: 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-3: Factors of 95145

List of positive integer factors of 95145 that divides 95145 without a remainder.

1, 3, 5, 15, 6343, 19029, 31715

Step-4: Factors of 95160

List of positive integer factors of 95160 that divides 95145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95145 and 95160. The biggest common factor number is the GCF number.
So the greatest common factor 95145 and 95160 is 15.

Also check out the Least Common Multiple of 95145 and 95160