What is the Greatest Common Factor of 10234 and 10241?

Greatest common factor (GCF) of 10234 and 10241 is 7.

GCF(10234,10241) = 7

We will now calculate the prime factors of 10234 and 10241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10234 and 10241.

How to find the GCF of 10234 and 10241?

We will first find the prime factorization of 10234 and 10241. After we will calculate the factors of 10234 and 10241 and find the biggest common factor number .

Step-1: Prime Factorization of 10234

Prime factors of 10234 are 2, 7, 17, 43. Prime factorization of 10234 in exponential form is:

10234 = 2¹ × 7¹ × 17¹ × 43¹

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 10234

List of positive integer factors of 10234 that divides 10234 without a remainder.

1, 2, 7, 14, 17, 34, 43, 86, 119, 238, 301, 602, 731, 1462, 5117

Step-4: Factors of 10241

List of positive integer factors of 10241 that divides 10234 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 10234 and 10241. The biggest common factor number is the GCF number.
So the greatest common factor 10234 and 10241 is 7.

Also check out the Least Common Multiple of 10234 and 10241