What is the Greatest Common Factor of 89409 and 89421?

Greatest common factor (GCF) of 89409 and 89421 is 3.

GCF(89409,89421) = 3

We will now calculate the prime factors of 89409 and 89421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89409 and 89421.

How to find the GCF of 89409 and 89421?

We will first find the prime factorization of 89409 and 89421. After we will calculate the factors of 89409 and 89421 and find the biggest common factor number .

Step-1: Prime Factorization of 89409

Prime factors of 89409 are 3, 29803. Prime factorization of 89409 in exponential form is:

89409 = 3¹ × 29803¹

Step-2: Prime Factorization of 89421

Prime factors of 89421 are 3, 41, 727. Prime factorization of 89421 in exponential form is:

89421 = 3¹ × 41¹ × 727¹

Step-3: Factors of 89409

List of positive integer factors of 89409 that divides 89409 without a remainder.

1, 3, 29803

Step-4: Factors of 89421

List of positive integer factors of 89421 that divides 89409 without a remainder.

1, 3, 41, 123, 727, 2181, 29807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89409 and 89421. The biggest common factor number is the GCF number.
So the greatest common factor 89409 and 89421 is 3.

Also check out the Least Common Multiple of 89409 and 89421