What is the Greatest Common Factor of 16238 and 16250?

Greatest common factor (GCF) of 16238 and 16250 is 2.

GCF(16238,16250) = 2

We will now calculate the prime factors of 16238 and 16250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16238 and 16250.

How to find the GCF of 16238 and 16250?

We will first find the prime factorization of 16238 and 16250. After we will calculate the factors of 16238 and 16250 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 16250

Prime factors of 16250 are 2, 5, 13. Prime factorization of 16250 in exponential form is:

16250 = 2¹ × 5⁴ × 13¹

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 16250

List of positive integer factors of 16250 that divides 16238 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 625, 650, 1250, 1625, 3250, 8125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16238 and 16250. The biggest common factor number is the GCF number.
So the greatest common factor 16238 and 16250 is 2.

Also check out the Least Common Multiple of 16238 and 16250