What is the Greatest Common Factor of 90809 and 90828?

Greatest common factor (GCF) of 90809 and 90828 is 1.

GCF(90809,90828) = 1

We will now calculate the prime factors of 90809 and 90828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90809 and 90828.

How to find the GCF of 90809 and 90828?

We will first find the prime factorization of 90809 and 90828. After we will calculate the factors of 90809 and 90828 and find the biggest common factor number .

Step-1: Prime Factorization of 90809

Prime factors of 90809 are 71, 1279. Prime factorization of 90809 in exponential form is:

90809 = 71¹ × 1279¹

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 90809

List of positive integer factors of 90809 that divides 90809 without a remainder.

1, 71, 1279

Step-4: Factors of 90828

List of positive integer factors of 90828 that divides 90809 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 90809 and 90828. The biggest common factor number is the GCF number.
So the greatest common factor 90809 and 90828 is 1.

Also check out the Least Common Multiple of 90809 and 90828