What is the Greatest Common Factor of 16280 and 16298?

Greatest common factor (GCF) of 16280 and 16298 is 2.

GCF(16280,16298) = 2

We will now calculate the prime factors of 16280 and 16298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16280 and 16298.

How to find the GCF of 16280 and 16298?

We will first find the prime factorization of 16280 and 16298. After we will calculate the factors of 16280 and 16298 and find the biggest common factor number .

Step-1: Prime Factorization of 16280

Prime factors of 16280 are 2, 5, 11, 37. Prime factorization of 16280 in exponential form is:

16280 = 2³ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 16298

Prime factors of 16298 are 2, 29, 281. Prime factorization of 16298 in exponential form is:

16298 = 2¹ × 29¹ × 281¹

Step-3: Factors of 16280

List of positive integer factors of 16280 that divides 16280 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 37, 40, 44, 55, 74, 88, 110, 148, 185, 220, 296, 370, 407, 440, 740, 814, 1480, 1628, 2035, 3256, 4070, 8140

Step-4: Factors of 16298

List of positive integer factors of 16298 that divides 16280 without a remainder.

1, 2, 29, 58, 281, 562, 8149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16280 and 16298. The biggest common factor number is the GCF number.
So the greatest common factor 16280 and 16298 is 2.

Also check out the Least Common Multiple of 16280 and 16298