What is the Greatest Common Factor of 21332 and 21342?

Greatest common factor (GCF) of 21332 and 21342 is 2.

GCF(21332,21342) = 2

We will now calculate the prime factors of 21332 and 21342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21332 and 21342.

How to find the GCF of 21332 and 21342?

We will first find the prime factorization of 21332 and 21342. After we will calculate the factors of 21332 and 21342 and find the biggest common factor number .

Step-1: Prime Factorization of 21332

Prime factors of 21332 are 2, 5333. Prime factorization of 21332 in exponential form is:

21332 = 2² × 5333¹

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 21332

List of positive integer factors of 21332 that divides 21332 without a remainder.

1, 2, 4, 5333, 10666

Step-4: Factors of 21342

List of positive integer factors of 21342 that divides 21332 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21332 and 21342. The biggest common factor number is the GCF number.
So the greatest common factor 21332 and 21342 is 2.

Also check out the Least Common Multiple of 21332 and 21342