What is the Greatest Common Factor of 21144 and 21153?

Greatest common factor (GCF) of 21144 and 21153 is 3.

GCF(21144,21153) = 3

We will now calculate the prime factors of 21144 and 21153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21144 and 21153.

How to find the GCF of 21144 and 21153?

We will first find the prime factorization of 21144 and 21153. After we will calculate the factors of 21144 and 21153 and find the biggest common factor number .

Step-1: Prime Factorization of 21144

Prime factors of 21144 are 2, 3, 881. Prime factorization of 21144 in exponential form is:

21144 = 2³ × 3¹ × 881¹

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 21144

List of positive integer factors of 21144 that divides 21144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 881, 1762, 2643, 3524, 5286, 7048, 10572

Step-4: Factors of 21153

List of positive integer factors of 21153 that divides 21144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21144 and 21153. The biggest common factor number is the GCF number.
So the greatest common factor 21144 and 21153 is 3.

Also check out the Least Common Multiple of 21144 and 21153