What is the Greatest Common Factor of 4238 and 4251?

Greatest common factor (GCF) of 4238 and 4251 is 13.

GCF(4238,4251) = 13

We will now calculate the prime factors of 4238 and 4251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4238 and 4251.

How to find the GCF of 4238 and 4251?

We will first find the prime factorization of 4238 and 4251. After we will calculate the factors of 4238 and 4251 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4251

Prime factors of 4251 are 3, 13, 109. Prime factorization of 4251 in exponential form is:

4251 = 3¹ × 13¹ × 109¹

Step-3: Factors of 4238

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

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

Step-4: Factors of 4251

List of positive integer factors of 4251 that divides 4238 without a remainder.

1, 3, 13, 39, 109, 327, 1417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4238 and 4251. The biggest common factor number is the GCF number.
So the greatest common factor 4238 and 4251 is 13.

Also check out the Least Common Multiple of 4238 and 4251