What is the Greatest Common Factor of 10234 and 10253?

Greatest common factor (GCF) of 10234 and 10253 is 1.

GCF(10234,10253) = 1

We will now calculate the prime factors of 10234 and 10253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10234 and 10253.

How to find the GCF of 10234 and 10253?

We will first find the prime factorization of 10234 and 10253. After we will calculate the factors of 10234 and 10253 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 10253

Prime factors of 10253 are 10253. Prime factorization of 10253 in exponential form is:

10253 = 10253¹

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 10253

List of positive integer factors of 10253 that divides 10234 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10234 and 10253. The biggest common factor number is the GCF number.
So the greatest common factor 10234 and 10253 is 1.

Also check out the Least Common Multiple of 10234 and 10253