What is the Greatest Common Factor of 95355 and 95360?

Greatest common factor (GCF) of 95355 and 95360 is 5.

GCF(95355,95360) = 5

We will now calculate the prime factors of 95355 and 95360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95355 and 95360.

How to find the GCF of 95355 and 95360?

We will first find the prime factorization of 95355 and 95360. After we will calculate the factors of 95355 and 95360 and find the biggest common factor number .

Step-1: Prime Factorization of 95355

Prime factors of 95355 are 3, 5, 13, 163. Prime factorization of 95355 in exponential form is:

95355 = 3² × 5¹ × 13¹ × 163¹

Step-2: Prime Factorization of 95360

Prime factors of 95360 are 2, 5, 149. Prime factorization of 95360 in exponential form is:

95360 = 2⁷ × 5¹ × 149¹

Step-3: Factors of 95355

List of positive integer factors of 95355 that divides 95355 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 163, 195, 489, 585, 815, 1467, 2119, 2445, 6357, 7335, 10595, 19071, 31785

Step-4: Factors of 95360

List of positive integer factors of 95360 that divides 95355 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 149, 160, 298, 320, 596, 640, 745, 1192, 1490, 2384, 2980, 4768, 5960, 9536, 11920, 19072, 23840, 47680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95355 and 95360. The biggest common factor number is the GCF number.
So the greatest common factor 95355 and 95360 is 5.

Also check out the Least Common Multiple of 95355 and 95360