What is the Greatest Common Factor of 21075 and 21087?

Greatest common factor (GCF) of 21075 and 21087 is 3.

GCF(21075,21087) = 3

We will now calculate the prime factors of 21075 and 21087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21075 and 21087.

How to find the GCF of 21075 and 21087?

We will first find the prime factorization of 21075 and 21087. After we will calculate the factors of 21075 and 21087 and find the biggest common factor number .

Step-1: Prime Factorization of 21075

Prime factors of 21075 are 3, 5, 281. Prime factorization of 21075 in exponential form is:

21075 = 3¹ × 5² × 281¹

Step-2: Prime Factorization of 21087

Prime factors of 21087 are 3, 11, 71. Prime factorization of 21087 in exponential form is:

21087 = 3³ × 11¹ × 71¹

Step-3: Factors of 21075

List of positive integer factors of 21075 that divides 21075 without a remainder.

1, 3, 5, 15, 25, 75, 281, 843, 1405, 4215, 7025

Step-4: Factors of 21087

List of positive integer factors of 21087 that divides 21075 without a remainder.

1, 3, 9, 11, 27, 33, 71, 99, 213, 297, 639, 781, 1917, 2343, 7029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21075 and 21087. The biggest common factor number is the GCF number.
So the greatest common factor 21075 and 21087 is 3.

Also check out the Least Common Multiple of 21075 and 21087