What is the Greatest Common Factor of 95160 and 95169?

Greatest common factor (GCF) of 95160 and 95169 is 3.

GCF(95160,95169) = 3

We will now calculate the prime factors of 95160 and 95169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95160 and 95169.

How to find the GCF of 95160 and 95169?

We will first find the prime factorization of 95160 and 95169. After we will calculate the factors of 95160 and 95169 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 95169

Prime factors of 95169 are 3, 31723. Prime factorization of 95169 in exponential form is:

95169 = 3¹ × 31723¹

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 95169

List of positive integer factors of 95169 that divides 95160 without a remainder.

1, 3, 31723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95160 and 95169. The biggest common factor number is the GCF number.
So the greatest common factor 95160 and 95169 is 3.

Also check out the Least Common Multiple of 95160 and 95169