What is the Greatest Common Factor of 87165 and 87170?

Greatest common factor (GCF) of 87165 and 87170 is 5.

GCF(87165,87170) = 5

We will now calculate the prime factors of 87165 and 87170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87165 and 87170.

How to find the GCF of 87165 and 87170?

We will first find the prime factorization of 87165 and 87170. After we will calculate the factors of 87165 and 87170 and find the biggest common factor number .

Step-1: Prime Factorization of 87165

Prime factors of 87165 are 3, 5, 13, 149. Prime factorization of 87165 in exponential form is:

87165 = 3² × 5¹ × 13¹ × 149¹

Step-2: Prime Factorization of 87170

Prime factors of 87170 are 2, 5, 23, 379. Prime factorization of 87170 in exponential form is:

87170 = 2¹ × 5¹ × 23¹ × 379¹

Step-3: Factors of 87165

List of positive integer factors of 87165 that divides 87165 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 149, 195, 447, 585, 745, 1341, 1937, 2235, 5811, 6705, 9685, 17433, 29055

Step-4: Factors of 87170

List of positive integer factors of 87170 that divides 87165 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 379, 758, 1895, 3790, 8717, 17434, 43585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87165 and 87170. The biggest common factor number is the GCF number.
So the greatest common factor 87165 and 87170 is 5.

Also check out the Least Common Multiple of 87165 and 87170