What is the Greatest Common Factor of 21138 and 21144?

Greatest common factor (GCF) of 21138 and 21144 is 6.

GCF(21138,21144) = 6

We will now calculate the prime factors of 21138 and 21144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21138 and 21144.

How to find the GCF of 21138 and 21144?

We will first find the prime factorization of 21138 and 21144. After we will calculate the factors of 21138 and 21144 and find the biggest common factor number .

Step-1: Prime Factorization of 21138

Prime factors of 21138 are 2, 3, 13, 271. Prime factorization of 21138 in exponential form is:

21138 = 2¹ × 3¹ × 13¹ × 271¹

Step-2: 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-3: Factors of 21138

List of positive integer factors of 21138 that divides 21138 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 271, 542, 813, 1626, 3523, 7046, 10569

Step-4: Factors of 21144

List of positive integer factors of 21144 that divides 21138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21138 and 21144. The biggest common factor number is the GCF number.
So the greatest common factor 21138 and 21144 is 6.

Also check out the Least Common Multiple of 21138 and 21144