What is the Greatest Common Factor of 29237 and 29241?

Greatest common factor (GCF) of 29237 and 29241 is 1.

GCF(29237,29241) = 1

We will now calculate the prime factors of 29237 and 29241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29237 and 29241.

How to find the GCF of 29237 and 29241?

We will first find the prime factorization of 29237 and 29241. After we will calculate the factors of 29237 and 29241 and find the biggest common factor number .

Step-1: Prime Factorization of 29237

Prime factors of 29237 are 13, 173. Prime factorization of 29237 in exponential form is:

29237 = 13² × 173¹

Step-2: Prime Factorization of 29241

Prime factors of 29241 are 3, 19. Prime factorization of 29241 in exponential form is:

29241 = 3⁴ × 19²

Step-3: Factors of 29237

List of positive integer factors of 29237 that divides 29237 without a remainder.

1, 13, 169, 173, 2249

Step-4: Factors of 29241

List of positive integer factors of 29241 that divides 29237 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 361, 513, 1083, 1539, 3249, 9747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29237 and 29241. The biggest common factor number is the GCF number.
So the greatest common factor 29237 and 29241 is 1.

Also check out the Least Common Multiple of 29237 and 29241