What is the Greatest Common Factor of 21333 and 21342?

Greatest common factor (GCF) of 21333 and 21342 is 3.

GCF(21333,21342) = 3

We will now calculate the prime factors of 21333 and 21342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21333 and 21342.

How to find the GCF of 21333 and 21342?

We will first find the prime factorization of 21333 and 21342. After we will calculate the factors of 21333 and 21342 and find the biggest common factor number .

Step-1: Prime Factorization of 21333

Prime factors of 21333 are 3, 13, 547. Prime factorization of 21333 in exponential form is:

21333 = 3¹ × 13¹ × 547¹

Step-2: Prime Factorization of 21342

Prime factors of 21342 are 2, 3, 3557. Prime factorization of 21342 in exponential form is:

21342 = 2¹ × 3¹ × 3557¹

Step-3: Factors of 21333

List of positive integer factors of 21333 that divides 21333 without a remainder.

1, 3, 13, 39, 547, 1641, 7111

Step-4: Factors of 21342

List of positive integer factors of 21342 that divides 21333 without a remainder.

1, 2, 3, 6, 3557, 7114, 10671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21333 and 21342. The biggest common factor number is the GCF number.
So the greatest common factor 21333 and 21342 is 3.

Also check out the Least Common Multiple of 21333 and 21342