What is the Greatest Common Factor of 80409 and 80414?

Greatest common factor (GCF) of 80409 and 80414 is 1.

GCF(80409,80414) = 1

We will now calculate the prime factors of 80409 and 80414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80409 and 80414.

How to find the GCF of 80409 and 80414?

We will first find the prime factorization of 80409 and 80414. After we will calculate the factors of 80409 and 80414 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 80414

Prime factors of 80414 are 2, 31, 1297. Prime factorization of 80414 in exponential form is:

80414 = 2¹ × 31¹ × 1297¹

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 80414

List of positive integer factors of 80414 that divides 80409 without a remainder.

1, 2, 31, 62, 1297, 2594, 40207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80409 and 80414. The biggest common factor number is the GCF number.
So the greatest common factor 80409 and 80414 is 1.

Also check out the Least Common Multiple of 80409 and 80414