What is the Greatest Common Factor of 90409 and 90413?

Greatest common factor (GCF) of 90409 and 90413 is 1.

GCF(90409,90413) = 1

We will now calculate the prime factors of 90409 and 90413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90409 and 90413.

How to find the GCF of 90409 and 90413?

We will first find the prime factorization of 90409 and 90413. After we will calculate the factors of 90409 and 90413 and find the biggest common factor number .

Step-1: Prime Factorization of 90409

Prime factors of 90409 are 11, 8219. Prime factorization of 90409 in exponential form is:

90409 = 11¹ × 8219¹

Step-2: Prime Factorization of 90413

Prime factors of 90413 are 23, 3931. Prime factorization of 90413 in exponential form is:

90413 = 23¹ × 3931¹

Step-3: Factors of 90409

List of positive integer factors of 90409 that divides 90409 without a remainder.

1, 11, 8219

Step-4: Factors of 90413

List of positive integer factors of 90413 that divides 90409 without a remainder.

1, 23, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90409 and 90413. The biggest common factor number is the GCF number.
So the greatest common factor 90409 and 90413 is 1.

Also check out the Least Common Multiple of 90409 and 90413