What is the Greatest Common Factor of 80565 and 80579?

Greatest common factor (GCF) of 80565 and 80579 is 1.

GCF(80565,80579) = 1

We will now calculate the prime factors of 80565 and 80579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80565 and 80579.

How to find the GCF of 80565 and 80579?

We will first find the prime factorization of 80565 and 80579. After we will calculate the factors of 80565 and 80579 and find the biggest common factor number .

Step-1: Prime Factorization of 80565

Prime factors of 80565 are 3, 5, 41, 131. Prime factorization of 80565 in exponential form is:

80565 = 3¹ × 5¹ × 41¹ × 131¹

Step-2: Prime Factorization of 80579

Prime factors of 80579 are 19, 4241. Prime factorization of 80579 in exponential form is:

80579 = 19¹ × 4241¹

Step-3: Factors of 80565

List of positive integer factors of 80565 that divides 80565 without a remainder.

1, 3, 5, 15, 41, 123, 131, 205, 393, 615, 655, 1965, 5371, 16113, 26855

Step-4: Factors of 80579

List of positive integer factors of 80579 that divides 80565 without a remainder.

1, 19, 4241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80565 and 80579. The biggest common factor number is the GCF number.
So the greatest common factor 80565 and 80579 is 1.

Also check out the Least Common Multiple of 80565 and 80579