What is the Greatest Common Factor of 80009 and 80020?

Greatest common factor (GCF) of 80009 and 80020 is 1.

GCF(80009,80020) = 1

We will now calculate the prime factors of 80009 and 80020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80009 and 80020.

How to find the GCF of 80009 and 80020?

We will first find the prime factorization of 80009 and 80020. After we will calculate the factors of 80009 and 80020 and find the biggest common factor number .

Step-1: Prime Factorization of 80009

Prime factors of 80009 are 19, 4211. Prime factorization of 80009 in exponential form is:

80009 = 19¹ × 4211¹

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 80009

List of positive integer factors of 80009 that divides 80009 without a remainder.

1, 19, 4211

Step-4: Factors of 80020

List of positive integer factors of 80020 that divides 80009 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 80009 and 80020. The biggest common factor number is the GCF number.
So the greatest common factor 80009 and 80020 is 1.

Also check out the Least Common Multiple of 80009 and 80020