What is the Greatest Common Factor of 87066 and 87084?

Greatest common factor (GCF) of 87066 and 87084 is 18.

GCF(87066,87084) = 18

We will now calculate the prime factors of 87066 and 87084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87066 and 87084.

How to find the GCF of 87066 and 87084?

We will first find the prime factorization of 87066 and 87084. After we will calculate the factors of 87066 and 87084 and find the biggest common factor number .

Step-1: Prime Factorization of 87066

Prime factors of 87066 are 2, 3, 7, 691. Prime factorization of 87066 in exponential form is:

87066 = 2¹ × 3² × 7¹ × 691¹

Step-2: 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-3: Factors of 87066

List of positive integer factors of 87066 that divides 87066 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 691, 1382, 2073, 4146, 4837, 6219, 9674, 12438, 14511, 29022, 43533

Step-4: Factors of 87084

List of positive integer factors of 87084 that divides 87066 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87066 and 87084. The biggest common factor number is the GCF number.
So the greatest common factor 87066 and 87084 is 18.

Also check out the Least Common Multiple of 87066 and 87084