What is the Greatest Common Factor of 90805 and 90809?

Greatest common factor (GCF) of 90805 and 90809 is 1.

GCF(90805,90809) = 1

We will now calculate the prime factors of 90805 and 90809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90805 and 90809.

How to find the GCF of 90805 and 90809?

We will first find the prime factorization of 90805 and 90809. After we will calculate the factors of 90805 and 90809 and find the biggest common factor number .

Step-1: Prime Factorization of 90805

Prime factors of 90805 are 5, 11, 13, 127. Prime factorization of 90805 in exponential form is:

90805 = 5¹ × 11¹ × 13¹ × 127¹

Step-2: Prime Factorization of 90809

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

90809 = 71¹ × 1279¹

Step-3: Factors of 90805

List of positive integer factors of 90805 that divides 90805 without a remainder.

1, 5, 11, 13, 55, 65, 127, 143, 635, 715, 1397, 1651, 6985, 8255, 18161

Step-4: Factors of 90809

List of positive integer factors of 90809 that divides 90805 without a remainder.

1, 71, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90805 and 90809. The biggest common factor number is the GCF number.
So the greatest common factor 90805 and 90809 is 1.

Also check out the Least Common Multiple of 90805 and 90809