What is the Greatest Common Factor of 80005 and 80020?

Greatest common factor (GCF) of 80005 and 80020 is 5.

GCF(80005,80020) = 5

We will now calculate the prime factors of 80005 and 80020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80005 and 80020.

How to find the GCF of 80005 and 80020?

We will first find the prime factorization of 80005 and 80020. After we will calculate the factors of 80005 and 80020 and find the biggest common factor number .

Step-1: Prime Factorization of 80005

Prime factors of 80005 are 5, 16001. Prime factorization of 80005 in exponential form is:

80005 = 5¹ × 16001¹

Step-2: Prime Factorization of 80020

Prime factors of 80020 are 2, 5, 4001. Prime factorization of 80020 in exponential form is:

80020 = 2² × 5¹ × 4001¹

Step-3: Factors of 80005

List of positive integer factors of 80005 that divides 80005 without a remainder.

1, 5, 16001

Step-4: Factors of 80020

List of positive integer factors of 80020 that divides 80005 without a remainder.

1, 2, 4, 5, 10, 20, 4001, 8002, 16004, 20005, 40010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80005 and 80020. The biggest common factor number is the GCF number.
So the greatest common factor 80005 and 80020 is 5.

Also check out the Least Common Multiple of 80005 and 80020