What is the Greatest Common Factor of 21069 and 21075?

Greatest common factor (GCF) of 21069 and 21075 is 3.

GCF(21069,21075) = 3

We will now calculate the prime factors of 21069 and 21075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21069 and 21075.

How to find the GCF of 21069 and 21075?

We will first find the prime factorization of 21069 and 21075. After we will calculate the factors of 21069 and 21075 and find the biggest common factor number .

Step-1: Prime Factorization of 21069

Prime factors of 21069 are 3, 2341. Prime factorization of 21069 in exponential form is:

21069 = 3² × 2341¹

Step-2: 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-3: Factors of 21069

List of positive integer factors of 21069 that divides 21069 without a remainder.

1, 3, 9, 2341, 7023

Step-4: Factors of 21075

List of positive integer factors of 21075 that divides 21069 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21069 and 21075. The biggest common factor number is the GCF number.
So the greatest common factor 21069 and 21075 is 3.

Also check out the Least Common Multiple of 21069 and 21075