What is the Greatest Common Factor of 80569 and 80585?

Greatest common factor (GCF) of 80569 and 80585 is 1.

GCF(80569,80585) = 1

We will now calculate the prime factors of 80569 and 80585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80569 and 80585.

How to find the GCF of 80569 and 80585?

We will first find the prime factorization of 80569 and 80585. After we will calculate the factors of 80569 and 80585 and find the biggest common factor number .

Step-1: Prime Factorization of 80569

Prime factors of 80569 are 23, 31, 113. Prime factorization of 80569 in exponential form is:

80569 = 23¹ × 31¹ × 113¹

Step-2: Prime Factorization of 80585

Prime factors of 80585 are 5, 71, 227. Prime factorization of 80585 in exponential form is:

80585 = 5¹ × 71¹ × 227¹

Step-3: Factors of 80569

List of positive integer factors of 80569 that divides 80569 without a remainder.

1, 23, 31, 113, 713, 2599, 3503

Step-4: Factors of 80585

List of positive integer factors of 80585 that divides 80569 without a remainder.

1, 5, 71, 227, 355, 1135, 16117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80569 and 80585. The biggest common factor number is the GCF number.
So the greatest common factor 80569 and 80585 is 1.

Also check out the Least Common Multiple of 80569 and 80585