What is the Greatest Common Factor of 87165 and 87180?

Greatest common factor (GCF) of 87165 and 87180 is 15.

GCF(87165,87180) = 15

We will now calculate the prime factors of 87165 and 87180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87165 and 87180.

How to find the GCF of 87165 and 87180?

We will first find the prime factorization of 87165 and 87180. After we will calculate the factors of 87165 and 87180 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 87180

Prime factors of 87180 are 2, 3, 5, 1453. Prime factorization of 87180 in exponential form is:

87180 = 2² × 3¹ × 5¹ × 1453¹

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 87180

List of positive integer factors of 87180 that divides 87165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1453, 2906, 4359, 5812, 7265, 8718, 14530, 17436, 21795, 29060, 43590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87165 and 87180. The biggest common factor number is the GCF number.
So the greatest common factor 87165 and 87180 is 15.

Also check out the Least Common Multiple of 87165 and 87180