What is the Greatest Common Factor of 79988 and 80000?

Greatest common factor (GCF) of 79988 and 80000 is 4.

GCF(79988,80000) = 4

We will now calculate the prime factors of 79988 and 80000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79988 and 80000.

How to find the GCF of 79988 and 80000?

We will first find the prime factorization of 79988 and 80000. After we will calculate the factors of 79988 and 80000 and find the biggest common factor number .

Step-1: Prime Factorization of 79988

Prime factors of 79988 are 2, 19997. Prime factorization of 79988 in exponential form is:

79988 = 2² × 19997¹

Step-2: Prime Factorization of 80000

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

80000 = 2⁷ × 5⁴

Step-3: Factors of 79988

List of positive integer factors of 79988 that divides 79988 without a remainder.

1, 2, 4, 19997, 39994

Step-4: Factors of 80000

List of positive integer factors of 80000 that divides 79988 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79988 and 80000. The biggest common factor number is the GCF number.
So the greatest common factor 79988 and 80000 is 4.

Also check out the Least Common Multiple of 79988 and 80000