What is the Greatest Common Factor of 87084 and 87102?

Greatest common factor (GCF) of 87084 and 87102 is 18.

GCF(87084,87102) = 18

We will now calculate the prime factors of 87084 and 87102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87084 and 87102.

How to find the GCF of 87084 and 87102?

We will first find the prime factorization of 87084 and 87102. After we will calculate the factors of 87084 and 87102 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 87102

Prime factors of 87102 are 2, 3, 1613. Prime factorization of 87102 in exponential form is:

87102 = 2¹ × 3³ × 1613¹

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 87102

List of positive integer factors of 87102 that divides 87084 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1613, 3226, 4839, 9678, 14517, 29034, 43551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87084 and 87102. The biggest common factor number is the GCF number.
So the greatest common factor 87084 and 87102 is 18.

Also check out the Least Common Multiple of 87084 and 87102