What is the Greatest Common Factor of 34269 and 34281?

Greatest common factor (GCF) of 34269 and 34281 is 3.

GCF(34269,34281) = 3

We will now calculate the prime factors of 34269 and 34281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34269 and 34281.

How to find the GCF of 34269 and 34281?

We will first find the prime factorization of 34269 and 34281. After we will calculate the factors of 34269 and 34281 and find the biggest common factor number .

Step-1: Prime Factorization of 34269

Prime factors of 34269 are 3, 11423. Prime factorization of 34269 in exponential form is:

34269 = 3¹ × 11423¹

Step-2: Prime Factorization of 34281

Prime factors of 34281 are 3, 13, 293. Prime factorization of 34281 in exponential form is:

34281 = 3² × 13¹ × 293¹

Step-3: Factors of 34269

List of positive integer factors of 34269 that divides 34269 without a remainder.

1, 3, 11423

Step-4: Factors of 34281

List of positive integer factors of 34281 that divides 34269 without a remainder.

1, 3, 9, 13, 39, 117, 293, 879, 2637, 3809, 11427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34269 and 34281. The biggest common factor number is the GCF number.
So the greatest common factor 34269 and 34281 is 3.

Also check out the Least Common Multiple of 34269 and 34281