What is the Greatest Common Factor of 80000 and 80005?

Greatest common factor (GCF) of 80000 and 80005 is 5.

GCF(80000,80005) = 5

We will now calculate the prime factors of 80000 and 80005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80000 and 80005.

How to find the GCF of 80000 and 80005?

We will first find the prime factorization of 80000 and 80005. After we will calculate the factors of 80000 and 80005 and find the biggest common factor number .

Step-1: Prime Factorization of 80000

Prime factors of 80000 are 2, 5. Prime factorization of 80000 in exponential form is:

80000 = 2⁷ × 5⁴

Step-2: Prime Factorization of 80005

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

80005 = 5¹ × 16001¹

Step-3: Factors of 80000

List of positive integer factors of 80000 that divides 80000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 625, 640, 800, 1000, 1250, 1600, 2000, 2500, 3200, 4000, 5000, 8000, 10000, 16000, 20000, 40000

Step-4: Factors of 80005

List of positive integer factors of 80005 that divides 80000 without a remainder.

1, 5, 16001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80000 and 80005. The biggest common factor number is the GCF number.
So the greatest common factor 80000 and 80005 is 5.

Also check out the Least Common Multiple of 80000 and 80005