What is the Greatest Common Factor of 21141 and 21153?

Greatest common factor (GCF) of 21141 and 21153 is 3.

GCF(21141,21153) = 3

We will now calculate the prime factors of 21141 and 21153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21141 and 21153.

How to find the GCF of 21141 and 21153?

We will first find the prime factorization of 21141 and 21153. After we will calculate the factors of 21141 and 21153 and find the biggest common factor number .

Step-1: Prime Factorization of 21141

Prime factors of 21141 are 3, 29. Prime factorization of 21141 in exponential form is:

21141 = 3⁶ × 29¹

Step-2: Prime Factorization of 21153

Prime factors of 21153 are 3, 11, 641. Prime factorization of 21153 in exponential form is:

21153 = 3¹ × 11¹ × 641¹

Step-3: Factors of 21141

List of positive integer factors of 21141 that divides 21141 without a remainder.

1, 3, 9, 27, 29, 81, 87, 243, 261, 729, 783, 2349, 7047

Step-4: Factors of 21153

List of positive integer factors of 21153 that divides 21141 without a remainder.

1, 3, 11, 33, 641, 1923, 7051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21141 and 21153. The biggest common factor number is the GCF number.
So the greatest common factor 21141 and 21153 is 3.

Also check out the Least Common Multiple of 21141 and 21153