What is the Greatest Common Factor of 16280 and 16291?

Greatest common factor (GCF) of 16280 and 16291 is 11.

GCF(16280,16291) = 11

We will now calculate the prime factors of 16280 and 16291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16280 and 16291.

How to find the GCF of 16280 and 16291?

We will first find the prime factorization of 16280 and 16291. After we will calculate the factors of 16280 and 16291 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 16291

Prime factors of 16291 are 11, 1481. Prime factorization of 16291 in exponential form is:

16291 = 11¹ × 1481¹

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 16291

List of positive integer factors of 16291 that divides 16280 without a remainder.

1, 11, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16280 and 16291. The biggest common factor number is the GCF number.
So the greatest common factor 16280 and 16291 is 11.

Also check out the Least Common Multiple of 16280 and 16291