What is the Greatest Common Factor of 21345 and 21363?

Greatest common factor (GCF) of 21345 and 21363 is 3.

GCF(21345,21363) = 3

We will now calculate the prime factors of 21345 and 21363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21345 and 21363.

How to find the GCF of 21345 and 21363?

We will first find the prime factorization of 21345 and 21363. After we will calculate the factors of 21345 and 21363 and find the biggest common factor number .

Step-1: Prime Factorization of 21345

Prime factors of 21345 are 3, 5, 1423. Prime factorization of 21345 in exponential form is:

21345 = 3¹ × 5¹ × 1423¹

Step-2: Prime Factorization of 21363

Prime factors of 21363 are 3, 7121. Prime factorization of 21363 in exponential form is:

21363 = 3¹ × 7121¹

Step-3: Factors of 21345

List of positive integer factors of 21345 that divides 21345 without a remainder.

1, 3, 5, 15, 1423, 4269, 7115

Step-4: Factors of 21363

List of positive integer factors of 21363 that divides 21345 without a remainder.

1, 3, 7121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21345 and 21363. The biggest common factor number is the GCF number.
So the greatest common factor 21345 and 21363 is 3.

Also check out the Least Common Multiple of 21345 and 21363