What is the Greatest Common Factor of 80565 and 80577?

Greatest common factor (GCF) of 80565 and 80577 is 3.

GCF(80565,80577) = 3

We will now calculate the prime factors of 80565 and 80577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80565 and 80577.

How to find the GCF of 80565 and 80577?

We will first find the prime factorization of 80565 and 80577. After we will calculate the factors of 80565 and 80577 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 80577

Prime factors of 80577 are 3, 7, 1279. Prime factorization of 80577 in exponential form is:

80577 = 3² × 7¹ × 1279¹

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 80577

List of positive integer factors of 80577 that divides 80565 without a remainder.

1, 3, 7, 9, 21, 63, 1279, 3837, 8953, 11511, 26859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80565 and 80577. The biggest common factor number is the GCF number.
So the greatest common factor 80565 and 80577 is 3.

Also check out the Least Common Multiple of 80565 and 80577