What is the Greatest Common Factor of 21303 and 21315?

Greatest common factor (GCF) of 21303 and 21315 is 3.

GCF(21303,21315) = 3

We will now calculate the prime factors of 21303 and 21315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21303 and 21315.

How to find the GCF of 21303 and 21315?

We will first find the prime factorization of 21303 and 21315. After we will calculate the factors of 21303 and 21315 and find the biggest common factor number .

Step-1: Prime Factorization of 21303

Prime factors of 21303 are 3, 263. Prime factorization of 21303 in exponential form is:

21303 = 3⁴ × 263¹

Step-2: Prime Factorization of 21315

Prime factors of 21315 are 3, 5, 7, 29. Prime factorization of 21315 in exponential form is:

21315 = 3¹ × 5¹ × 7² × 29¹

Step-3: Factors of 21303

List of positive integer factors of 21303 that divides 21303 without a remainder.

1, 3, 9, 27, 81, 263, 789, 2367, 7101

Step-4: Factors of 21315

List of positive integer factors of 21315 that divides 21303 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 49, 87, 105, 145, 147, 203, 245, 435, 609, 735, 1015, 1421, 3045, 4263, 7105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21303 and 21315. The biggest common factor number is the GCF number.
So the greatest common factor 21303 and 21315 is 3.

Also check out the Least Common Multiple of 21303 and 21315