What is the Greatest Common Factor of 87084 and 87099?

Greatest common factor (GCF) of 87084 and 87099 is 3.

GCF(87084,87099) = 3

We will now calculate the prime factors of 87084 and 87099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87084 and 87099.

How to find the GCF of 87084 and 87099?

We will first find the prime factorization of 87084 and 87099. After we will calculate the factors of 87084 and 87099 and find the biggest common factor number .

Step-1: Prime Factorization of 87084

Prime factors of 87084 are 2, 3, 41, 59. Prime factorization of 87084 in exponential form is:

87084 = 2² × 3² × 41¹ × 59¹

Step-2: Prime Factorization of 87099

Prime factors of 87099 are 3, 29033. Prime factorization of 87099 in exponential form is:

87099 = 3¹ × 29033¹

Step-3: Factors of 87084

List of positive integer factors of 87084 that divides 87084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354, 369, 492, 531, 708, 738, 1062, 1476, 2124, 2419, 4838, 7257, 9676, 14514, 21771, 29028, 43542

Step-4: Factors of 87099

List of positive integer factors of 87099 that divides 87084 without a remainder.

1, 3, 29033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87084 and 87099. The biggest common factor number is the GCF number.
So the greatest common factor 87084 and 87099 is 3.

Also check out the Least Common Multiple of 87084 and 87099