What is the Greatest Common Factor of 34249 and 34263?

Greatest common factor (GCF) of 34249 and 34263 is 1.

GCF(34249,34263) = 1

We will now calculate the prime factors of 34249 and 34263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34249 and 34263.

How to find the GCF of 34249 and 34263?

We will first find the prime factorization of 34249 and 34263. After we will calculate the factors of 34249 and 34263 and find the biggest common factor number .

Step-1: Prime Factorization of 34249

Prime factors of 34249 are 29, 1181. Prime factorization of 34249 in exponential form is:

34249 = 29¹ × 1181¹

Step-2: Prime Factorization of 34263

Prime factors of 34263 are 3, 47. Prime factorization of 34263 in exponential form is:

34263 = 3⁶ × 47¹

Step-3: Factors of 34249

List of positive integer factors of 34249 that divides 34249 without a remainder.

1, 29, 1181

Step-4: Factors of 34263

List of positive integer factors of 34263 that divides 34249 without a remainder.

1, 3, 9, 27, 47, 81, 141, 243, 423, 729, 1269, 3807, 11421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34249 and 34263. The biggest common factor number is the GCF number.
So the greatest common factor 34249 and 34263 is 1.

Also check out the Least Common Multiple of 34249 and 34263