What is the Greatest Common Factor of 29238 and 29249?

Greatest common factor (GCF) of 29238 and 29249 is 11.

GCF(29238,29249) = 11

We will now calculate the prime factors of 29238 and 29249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29238 and 29249.

How to find the GCF of 29238 and 29249?

We will first find the prime factorization of 29238 and 29249. After we will calculate the factors of 29238 and 29249 and find the biggest common factor number .

Step-1: Prime Factorization of 29238

Prime factors of 29238 are 2, 3, 11, 443. Prime factorization of 29238 in exponential form is:

29238 = 2¹ × 3¹ × 11¹ × 443¹

Step-2: Prime Factorization of 29249

Prime factors of 29249 are 11, 2659. Prime factorization of 29249 in exponential form is:

29249 = 11¹ × 2659¹

Step-3: Factors of 29238

List of positive integer factors of 29238 that divides 29238 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 443, 886, 1329, 2658, 4873, 9746, 14619

Step-4: Factors of 29249

List of positive integer factors of 29249 that divides 29238 without a remainder.

1, 11, 2659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29238 and 29249. The biggest common factor number is the GCF number.
So the greatest common factor 29238 and 29249 is 11.

Also check out the Least Common Multiple of 29238 and 29249