What is the Greatest Common Factor of 21123 and 21135?

Greatest common factor (GCF) of 21123 and 21135 is 3.

GCF(21123,21135) = 3

We will now calculate the prime factors of 21123 and 21135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21123 and 21135.

How to find the GCF of 21123 and 21135?

We will first find the prime factorization of 21123 and 21135. After we will calculate the factors of 21123 and 21135 and find the biggest common factor number .

Step-1: Prime Factorization of 21123

Prime factors of 21123 are 3, 2347. Prime factorization of 21123 in exponential form is:

21123 = 3² × 2347¹

Step-2: Prime Factorization of 21135

Prime factors of 21135 are 3, 5, 1409. Prime factorization of 21135 in exponential form is:

21135 = 3¹ × 5¹ × 1409¹

Step-3: Factors of 21123

List of positive integer factors of 21123 that divides 21123 without a remainder.

1, 3, 9, 2347, 7041

Step-4: Factors of 21135

List of positive integer factors of 21135 that divides 21123 without a remainder.

1, 3, 5, 15, 1409, 4227, 7045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21123 and 21135. The biggest common factor number is the GCF number.
So the greatest common factor 21123 and 21135 is 3.

Also check out the Least Common Multiple of 21123 and 21135