What is the Greatest Common Factor of 80605 and 80617?

Greatest common factor (GCF) of 80605 and 80617 is 1.

GCF(80605,80617) = 1

We will now calculate the prime factors of 80605 and 80617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80605 and 80617.

How to find the GCF of 80605 and 80617?

We will first find the prime factorization of 80605 and 80617. After we will calculate the factors of 80605 and 80617 and find the biggest common factor number .

Step-1: Prime Factorization of 80605

Prime factors of 80605 are 5, 7, 47. Prime factorization of 80605 in exponential form is:

80605 = 5¹ × 7³ × 47¹

Step-2: Prime Factorization of 80617

Prime factors of 80617 are 19, 4243. Prime factorization of 80617 in exponential form is:

80617 = 19¹ × 4243¹

Step-3: Factors of 80605

List of positive integer factors of 80605 that divides 80605 without a remainder.

1, 5, 7, 35, 47, 49, 235, 245, 329, 343, 1645, 1715, 2303, 11515, 16121

Step-4: Factors of 80617

List of positive integer factors of 80617 that divides 80605 without a remainder.

1, 19, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80605 and 80617. The biggest common factor number is the GCF number.
So the greatest common factor 80605 and 80617 is 1.

Also check out the Least Common Multiple of 80605 and 80617