What is the Greatest Common Factor of 80401 and 80409?

Greatest common factor (GCF) of 80401 and 80409 is 1.

GCF(80401,80409) = 1

We will now calculate the prime factors of 80401 and 80409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80401 and 80409.

How to find the GCF of 80401 and 80409?

We will first find the prime factorization of 80401 and 80409. After we will calculate the factors of 80401 and 80409 and find the biggest common factor number .

Step-1: Prime Factorization of 80401

Prime factors of 80401 are 37, 41, 53. Prime factorization of 80401 in exponential form is:

80401 = 37¹ × 41¹ × 53¹

Step-2: 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-3: Factors of 80401

List of positive integer factors of 80401 that divides 80401 without a remainder.

1, 37, 41, 53, 1517, 1961, 2173

Step-4: Factors of 80409

List of positive integer factors of 80409 that divides 80401 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80401 and 80409. The biggest common factor number is the GCF number.
So the greatest common factor 80401 and 80409 is 1.

Also check out the Least Common Multiple of 80401 and 80409