What is the Greatest Common Factor of 16300 and 16310?

Greatest common factor (GCF) of 16300 and 16310 is 10.

GCF(16300,16310) = 10

We will now calculate the prime factors of 16300 and 16310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16300 and 16310.

How to find the GCF of 16300 and 16310?

We will first find the prime factorization of 16300 and 16310. After we will calculate the factors of 16300 and 16310 and find the biggest common factor number .

Step-1: Prime Factorization of 16300

Prime factors of 16300 are 2, 5, 163. Prime factorization of 16300 in exponential form is:

16300 = 2² × 5² × 163¹

Step-2: Prime Factorization of 16310

Prime factors of 16310 are 2, 5, 7, 233. Prime factorization of 16310 in exponential form is:

16310 = 2¹ × 5¹ × 7¹ × 233¹

Step-3: Factors of 16300

List of positive integer factors of 16300 that divides 16300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 163, 326, 652, 815, 1630, 3260, 4075, 8150

Step-4: Factors of 16310

List of positive integer factors of 16310 that divides 16300 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 233, 466, 1165, 1631, 2330, 3262, 8155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16300 and 16310. The biggest common factor number is the GCF number.
So the greatest common factor 16300 and 16310 is 10.

Also check out the Least Common Multiple of 16300 and 16310