What is the Greatest Common Factor of 16238 and 16258?

Greatest common factor (GCF) of 16238 and 16258 is 2.

GCF(16238,16258) = 2

We will now calculate the prime factors of 16238 and 16258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16238 and 16258.

How to find the GCF of 16238 and 16258?

We will first find the prime factorization of 16238 and 16258. After we will calculate the factors of 16238 and 16258 and find the biggest common factor number .

Step-1: Prime Factorization of 16238

Prime factors of 16238 are 2, 23, 353. Prime factorization of 16238 in exponential form is:

16238 = 2¹ × 23¹ × 353¹

Step-2: Prime Factorization of 16258

Prime factors of 16258 are 2, 11, 739. Prime factorization of 16258 in exponential form is:

16258 = 2¹ × 11¹ × 739¹

Step-3: Factors of 16238

List of positive integer factors of 16238 that divides 16238 without a remainder.

1, 2, 23, 46, 353, 706, 8119

Step-4: Factors of 16258

List of positive integer factors of 16258 that divides 16238 without a remainder.

1, 2, 11, 22, 739, 1478, 8129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16238 and 16258. The biggest common factor number is the GCF number.
So the greatest common factor 16238 and 16258 is 2.

Also check out the Least Common Multiple of 16238 and 16258