What is the Greatest Common Factor of 90800 and 90810?

Greatest common factor (GCF) of 90800 and 90810 is 10.

GCF(90800,90810) = 10

We will now calculate the prime factors of 90800 and 90810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90800 and 90810.

How to find the GCF of 90800 and 90810?

We will first find the prime factorization of 90800 and 90810. After we will calculate the factors of 90800 and 90810 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 90810

Prime factors of 90810 are 2, 3, 5, 1009. Prime factorization of 90810 in exponential form is:

90810 = 2¹ × 3² × 5¹ × 1009¹

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 90810

List of positive integer factors of 90810 that divides 90800 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1009, 2018, 3027, 5045, 6054, 9081, 10090, 15135, 18162, 30270, 45405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90800 and 90810. The biggest common factor number is the GCF number.
So the greatest common factor 90800 and 90810 is 10.

Also check out the Least Common Multiple of 90800 and 90810