What is the Greatest Common Factor of 87084 and 87094?

Greatest common factor (GCF) of 87084 and 87094 is 2.

GCF(87084,87094) = 2

We will now calculate the prime factors of 87084 and 87094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87084 and 87094.

How to find the GCF of 87084 and 87094?

We will first find the prime factorization of 87084 and 87094. After we will calculate the factors of 87084 and 87094 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 87094

Prime factors of 87094 are 2, 7, 6221. Prime factorization of 87094 in exponential form is:

87094 = 2¹ × 7¹ × 6221¹

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 87094

List of positive integer factors of 87094 that divides 87084 without a remainder.

1, 2, 7, 14, 6221, 12442, 43547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87084 and 87094. The biggest common factor number is the GCF number.
So the greatest common factor 87084 and 87094 is 2.

Also check out the Least Common Multiple of 87084 and 87094