What is the Greatest Common Factor of 21273 and 21291?

Greatest common factor (GCF) of 21273 and 21291 is 3.

GCF(21273,21291) = 3

We will now calculate the prime factors of 21273 and 21291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21273 and 21291.

How to find the GCF of 21273 and 21291?

We will first find the prime factorization of 21273 and 21291. After we will calculate the factors of 21273 and 21291 and find the biggest common factor number .

Step-1: Prime Factorization of 21273

Prime factors of 21273 are 3, 7, 1013. Prime factorization of 21273 in exponential form is:

21273 = 3¹ × 7¹ × 1013¹

Step-2: Prime Factorization of 21291

Prime factors of 21291 are 3, 47, 151. Prime factorization of 21291 in exponential form is:

21291 = 3¹ × 47¹ × 151¹

Step-3: Factors of 21273

List of positive integer factors of 21273 that divides 21273 without a remainder.

1, 3, 7, 21, 1013, 3039, 7091

Step-4: Factors of 21291

List of positive integer factors of 21291 that divides 21273 without a remainder.

1, 3, 47, 141, 151, 453, 7097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21273 and 21291. The biggest common factor number is the GCF number.
So the greatest common factor 21273 and 21291 is 3.

Also check out the Least Common Multiple of 21273 and 21291