What is the Greatest Common Factor of 87180 and 87189?

Greatest common factor (GCF) of 87180 and 87189 is 3.

GCF(87180,87189) = 3

We will now calculate the prime factors of 87180 and 87189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87180 and 87189.

How to find the GCF of 87180 and 87189?

We will first find the prime factorization of 87180 and 87189. After we will calculate the factors of 87180 and 87189 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87189

Prime factors of 87189 are 3, 29063. Prime factorization of 87189 in exponential form is:

87189 = 3¹ × 29063¹

Step-3: Factors of 87180

List of positive integer factors of 87180 that divides 87180 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

Step-4: Factors of 87189

List of positive integer factors of 87189 that divides 87180 without a remainder.

1, 3, 29063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87180 and 87189. The biggest common factor number is the GCF number.
So the greatest common factor 87180 and 87189 is 3.

Also check out the Least Common Multiple of 87180 and 87189