What is the Greatest Common Factor of 87084 and 87103?

Greatest common factor (GCF) of 87084 and 87103 is 1.

GCF(87084,87103) = 1

We will now calculate the prime factors of 87084 and 87103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87084 and 87103.

How to find the GCF of 87084 and 87103?

We will first find the prime factorization of 87084 and 87103. After we will calculate the factors of 87084 and 87103 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 87103

Prime factors of 87103 are 87103. Prime factorization of 87103 in exponential form is:

87103 = 87103¹

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 87103

List of positive integer factors of 87103 that divides 87084 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87084 and 87103. The biggest common factor number is the GCF number.
So the greatest common factor 87084 and 87103 is 1.

Also check out the Least Common Multiple of 87084 and 87103