What is the Greatest Common Factor of 34229 and 34243?

Greatest common factor (GCF) of 34229 and 34243 is 1.

GCF(34229,34243) = 1

We will now calculate the prime factors of 34229 and 34243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34229 and 34243.

How to find the GCF of 34229 and 34243?

We will first find the prime factorization of 34229 and 34243. After we will calculate the factors of 34229 and 34243 and find the biggest common factor number .

Step-1: Prime Factorization of 34229

Prime factors of 34229 are 13, 2633. Prime factorization of 34229 in exponential form is:

34229 = 13¹ × 2633¹

Step-2: Prime Factorization of 34243

Prime factors of 34243 are 11, 283. Prime factorization of 34243 in exponential form is:

34243 = 11² × 283¹

Step-3: Factors of 34229

List of positive integer factors of 34229 that divides 34229 without a remainder.

1, 13, 2633

Step-4: Factors of 34243

List of positive integer factors of 34243 that divides 34229 without a remainder.

1, 11, 121, 283, 3113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34229 and 34243. The biggest common factor number is the GCF number.
So the greatest common factor 34229 and 34243 is 1.

Also check out the Least Common Multiple of 34229 and 34243