What is the Greatest Common Factor of 90810 and 90828?

Greatest common factor (GCF) of 90810 and 90828 is 18.

GCF(90810,90828) = 18

We will now calculate the prime factors of 90810 and 90828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90810 and 90828.

How to find the GCF of 90810 and 90828?

We will first find the prime factorization of 90810 and 90828. After we will calculate the factors of 90810 and 90828 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90828

Prime factors of 90828 are 2, 3, 29. Prime factorization of 90828 in exponential form is:

90828 = 2² × 3³ × 29²

Step-3: Factors of 90810

List of positive integer factors of 90810 that divides 90810 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

Step-4: Factors of 90828

List of positive integer factors of 90828 that divides 90810 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 841, 1044, 1566, 1682, 2523, 3132, 3364, 5046, 7569, 10092, 15138, 22707, 30276, 45414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90810 and 90828. The biggest common factor number is the GCF number.
So the greatest common factor 90810 and 90828 is 18.

Also check out the Least Common Multiple of 90810 and 90828