What is the Greatest Common Factor of 87075 and 87087?

Greatest common factor (GCF) of 87075 and 87087 is 3.

GCF(87075,87087) = 3

We will now calculate the prime factors of 87075 and 87087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87075 and 87087.

How to find the GCF of 87075 and 87087?

We will first find the prime factorization of 87075 and 87087. After we will calculate the factors of 87075 and 87087 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 87087

Prime factors of 87087 are 3, 7, 11, 13, 29. Prime factorization of 87087 in exponential form is:

87087 = 3¹ × 7¹ × 11¹ × 13¹ × 29¹

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 87087

List of positive integer factors of 87087 that divides 87075 without a remainder.

1, 3, 7, 11, 13, 21, 29, 33, 39, 77, 87, 91, 143, 203, 231, 273, 319, 377, 429, 609, 957, 1001, 1131, 2233, 2639, 3003, 4147, 6699, 7917, 12441, 29029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87075 and 87087. The biggest common factor number is the GCF number.
So the greatest common factor 87075 and 87087 is 3.

Also check out the Least Common Multiple of 87075 and 87087