What is the Greatest Common Factor of 16237 and 16250?

Greatest common factor (GCF) of 16237 and 16250 is 13.

GCF(16237,16250) = 13

We will now calculate the prime factors of 16237 and 16250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16237 and 16250.

How to find the GCF of 16237 and 16250?

We will first find the prime factorization of 16237 and 16250. After we will calculate the factors of 16237 and 16250 and find the biggest common factor number .

Step-1: Prime Factorization of 16237

Prime factors of 16237 are 13, 1249. Prime factorization of 16237 in exponential form is:

16237 = 13¹ × 1249¹

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 16237

List of positive integer factors of 16237 that divides 16237 without a remainder.

1, 13, 1249

Step-4: Factors of 16250

List of positive integer factors of 16250 that divides 16237 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 16237 and 16250. The biggest common factor number is the GCF number.
So the greatest common factor 16237 and 16250 is 13.

Also check out the Least Common Multiple of 16237 and 16250