What is the Greatest Common Factor of 4225 and 4238?

Greatest common factor (GCF) of 4225 and 4238 is 13.

GCF(4225,4238) = 13

We will now calculate the prime factors of 4225 and 4238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4225 and 4238.

How to find the GCF of 4225 and 4238?

We will first find the prime factorization of 4225 and 4238. After we will calculate the factors of 4225 and 4238 and find the biggest common factor number .

Step-1: Prime Factorization of 4225

Prime factors of 4225 are 5, 13. Prime factorization of 4225 in exponential form is:

4225 = 5² × 13²

Step-2: Prime Factorization of 4238

Prime factors of 4238 are 2, 13, 163. Prime factorization of 4238 in exponential form is:

4238 = 2¹ × 13¹ × 163¹

Step-3: Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845

Step-4: Factors of 4238

List of positive integer factors of 4238 that divides 4225 without a remainder.

1, 2, 13, 26, 163, 326, 2119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4225 and 4238. The biggest common factor number is the GCF number.
So the greatest common factor 4225 and 4238 is 13.

Also check out the Least Common Multiple of 4225 and 4238