What is the Greatest Common Factor of 90398 and 90409?

Greatest common factor (GCF) of 90398 and 90409 is 11.

GCF(90398,90409) = 11

We will now calculate the prime factors of 90398 and 90409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90398 and 90409.

How to find the GCF of 90398 and 90409?

We will first find the prime factorization of 90398 and 90409. After we will calculate the factors of 90398 and 90409 and find the biggest common factor number .

Step-1: Prime Factorization of 90398

Prime factors of 90398 are 2, 7, 11, 587. Prime factorization of 90398 in exponential form is:

90398 = 2¹ × 7¹ × 11¹ × 587¹

Step-2: Prime Factorization of 90409

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

90409 = 11¹ × 8219¹

Step-3: Factors of 90398

List of positive integer factors of 90398 that divides 90398 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 587, 1174, 4109, 6457, 8218, 12914, 45199

Step-4: Factors of 90409

List of positive integer factors of 90409 that divides 90398 without a remainder.

1, 11, 8219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90398 and 90409. The biggest common factor number is the GCF number.
So the greatest common factor 90398 and 90409 is 11.

Also check out the Least Common Multiple of 90398 and 90409