What is the Greatest Common Factor of 90800 and 90814?

Greatest common factor (GCF) of 90800 and 90814 is 2.

GCF(90800,90814) = 2

We will now calculate the prime factors of 90800 and 90814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90800 and 90814.

How to find the GCF of 90800 and 90814?

We will first find the prime factorization of 90800 and 90814. After we will calculate the factors of 90800 and 90814 and find the biggest common factor number .

Step-1: Prime Factorization of 90800

Prime factors of 90800 are 2, 5, 227. Prime factorization of 90800 in exponential form is:

90800 = 2⁴ × 5² × 227¹

Step-2: Prime Factorization of 90814

Prime factors of 90814 are 2, 17, 2671. Prime factorization of 90814 in exponential form is:

90814 = 2¹ × 17¹ × 2671¹

Step-3: Factors of 90800

List of positive integer factors of 90800 that divides 90800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 227, 400, 454, 908, 1135, 1816, 2270, 3632, 4540, 5675, 9080, 11350, 18160, 22700, 45400

Step-4: Factors of 90814

List of positive integer factors of 90814 that divides 90800 without a remainder.

1, 2, 17, 34, 2671, 5342, 45407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90800 and 90814. The biggest common factor number is the GCF number.
So the greatest common factor 90800 and 90814 is 2.

Also check out the Least Common Multiple of 90800 and 90814