What is the Greatest Common Factor of 87075 and 87081?

Greatest common factor (GCF) of 87075 and 87081 is 3.

GCF(87075,87081) = 3

We will now calculate the prime factors of 87075 and 87081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87075 and 87081.

How to find the GCF of 87075 and 87081?

We will first find the prime factorization of 87075 and 87081. After we will calculate the factors of 87075 and 87081 and find the biggest common factor number .

Step-1: Prime Factorization of 87075

Prime factors of 87075 are 3, 5, 43. Prime factorization of 87075 in exponential form is:

87075 = 3⁴ × 5² × 43¹

Step-2: Prime Factorization of 87081

Prime factors of 87081 are 3, 29027. Prime factorization of 87081 in exponential form is:

87081 = 3¹ × 29027¹

Step-3: Factors of 87075

List of positive integer factors of 87075 that divides 87075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 81, 129, 135, 215, 225, 387, 405, 645, 675, 1075, 1161, 1935, 2025, 3225, 3483, 5805, 9675, 17415, 29025

Step-4: Factors of 87081

List of positive integer factors of 87081 that divides 87075 without a remainder.

1, 3, 29027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87075 and 87081. The biggest common factor number is the GCF number.
So the greatest common factor 87075 and 87081 is 3.

Also check out the Least Common Multiple of 87075 and 87081