What is the Greatest Common Factor of 90801 and 90810?

Greatest common factor (GCF) of 90801 and 90810 is 9.

GCF(90801,90810) = 9

We will now calculate the prime factors of 90801 and 90810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90801 and 90810.

How to find the GCF of 90801 and 90810?

We will first find the prime factorization of 90801 and 90810. After we will calculate the factors of 90801 and 90810 and find the biggest common factor number .

Step-1: Prime Factorization of 90801

Prime factors of 90801 are 3, 19, 59. Prime factorization of 90801 in exponential form is:

90801 = 3⁴ × 19¹ × 59¹

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 90801

List of positive integer factors of 90801 that divides 90801 without a remainder.

1, 3, 9, 19, 27, 57, 59, 81, 171, 177, 513, 531, 1121, 1539, 1593, 3363, 4779, 10089, 30267

Step-4: Factors of 90810

List of positive integer factors of 90810 that divides 90801 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 90801 and 90810. The biggest common factor number is the GCF number.
So the greatest common factor 90801 and 90810 is 9.

Also check out the Least Common Multiple of 90801 and 90810