What is the Greatest Common Factor of 80409 and 80421?

Greatest common factor (GCF) of 80409 and 80421 is 3.

GCF(80409,80421) = 3

We will now calculate the prime factors of 80409 and 80421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80409 and 80421.

How to find the GCF of 80409 and 80421?

We will first find the prime factorization of 80409 and 80421. After we will calculate the factors of 80409 and 80421 and find the biggest common factor number .

Step-1: Prime Factorization of 80409

Prime factors of 80409 are 3, 7, 547. Prime factorization of 80409 in exponential form is:

80409 = 3¹ × 7² × 547¹

Step-2: Prime Factorization of 80421

Prime factors of 80421 are 3, 11, 2437. Prime factorization of 80421 in exponential form is:

80421 = 3¹ × 11¹ × 2437¹

Step-3: Factors of 80409

List of positive integer factors of 80409 that divides 80409 without a remainder.

1, 3, 7, 21, 49, 147, 547, 1641, 3829, 11487, 26803

Step-4: Factors of 80421

List of positive integer factors of 80421 that divides 80409 without a remainder.

1, 3, 11, 33, 2437, 7311, 26807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80409 and 80421. The biggest common factor number is the GCF number.
So the greatest common factor 80409 and 80421 is 3.

Also check out the Least Common Multiple of 80409 and 80421