What is the Greatest Common Factor of 10229 and 10241?

Greatest common factor (GCF) of 10229 and 10241 is 1.

GCF(10229,10241) = 1

We will now calculate the prime factors of 10229 and 10241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10229 and 10241.

How to find the GCF of 10229 and 10241?

We will first find the prime factorization of 10229 and 10241. After we will calculate the factors of 10229 and 10241 and find the biggest common factor number .

Step-1: Prime Factorization of 10229

Prime factors of 10229 are 53, 193. Prime factorization of 10229 in exponential form is:

10229 = 53¹ × 193¹

Step-2: Prime Factorization of 10241

Prime factors of 10241 are 7, 11, 19. Prime factorization of 10241 in exponential form is:

10241 = 7² × 11¹ × 19¹

Step-3: Factors of 10229

List of positive integer factors of 10229 that divides 10229 without a remainder.

1, 53, 193

Step-4: Factors of 10241

List of positive integer factors of 10241 that divides 10229 without a remainder.

1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10229 and 10241. The biggest common factor number is the GCF number.
So the greatest common factor 10229 and 10241 is 1.

Also check out the Least Common Multiple of 10229 and 10241