What is the Greatest Common Factor of 21267 and 21284?

Greatest common factor (GCF) of 21267 and 21284 is 17.

GCF(21267,21284) = 17

We will now calculate the prime factors of 21267 and 21284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21267 and 21284.

How to find the GCF of 21267 and 21284?

We will first find the prime factorization of 21267 and 21284. After we will calculate the factors of 21267 and 21284 and find the biggest common factor number .

Step-1: Prime Factorization of 21267

Prime factors of 21267 are 3, 17, 139. Prime factorization of 21267 in exponential form is:

21267 = 3² × 17¹ × 139¹

Step-2: Prime Factorization of 21284

Prime factors of 21284 are 2, 17, 313. Prime factorization of 21284 in exponential form is:

21284 = 2² × 17¹ × 313¹

Step-3: Factors of 21267

List of positive integer factors of 21267 that divides 21267 without a remainder.

1, 3, 9, 17, 51, 139, 153, 417, 1251, 2363, 7089

Step-4: Factors of 21284

List of positive integer factors of 21284 that divides 21267 without a remainder.

1, 2, 4, 17, 34, 68, 313, 626, 1252, 5321, 10642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21267 and 21284. The biggest common factor number is the GCF number.
So the greatest common factor 21267 and 21284 is 17.

Also check out the Least Common Multiple of 21267 and 21284