What is the Greatest Common Factor of 16270 and 16280?

Greatest common factor (GCF) of 16270 and 16280 is 10.

GCF(16270,16280) = 10

We will now calculate the prime factors of 16270 and 16280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16270 and 16280.

How to find the GCF of 16270 and 16280?

We will first find the prime factorization of 16270 and 16280. After we will calculate the factors of 16270 and 16280 and find the biggest common factor number .

Step-1: Prime Factorization of 16270

Prime factors of 16270 are 2, 5, 1627. Prime factorization of 16270 in exponential form is:

16270 = 2¹ × 5¹ × 1627¹

Step-2: 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-3: Factors of 16270

List of positive integer factors of 16270 that divides 16270 without a remainder.

1, 2, 5, 10, 1627, 3254, 8135

Step-4: Factors of 16280

List of positive integer factors of 16280 that divides 16270 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16270 and 16280. The biggest common factor number is the GCF number.
So the greatest common factor 16270 and 16280 is 10.

Also check out the Least Common Multiple of 16270 and 16280