What is the Greatest Common Factor of 10234 and 10238?

Greatest common factor (GCF) of 10234 and 10238 is 2.

GCF(10234,10238) = 2

We will now calculate the prime factors of 10234 and 10238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10234 and 10238.

How to find the GCF of 10234 and 10238?

We will first find the prime factorization of 10234 and 10238. After we will calculate the factors of 10234 and 10238 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 10238

Prime factors of 10238 are 2, 5119. Prime factorization of 10238 in exponential form is:

10238 = 2¹ × 5119¹

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 10238

List of positive integer factors of 10238 that divides 10234 without a remainder.

1, 2, 5119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10234 and 10238. The biggest common factor number is the GCF number.
So the greatest common factor 10234 and 10238 is 2.

Also check out the Least Common Multiple of 10234 and 10238