What is the Greatest Common Factor of 79984 and 80000?

Greatest common factor (GCF) of 79984 and 80000 is 16.

GCF(79984,80000) = 16

We will now calculate the prime factors of 79984 and 80000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79984 and 80000.

How to find the GCF of 79984 and 80000?

We will first find the prime factorization of 79984 and 80000. After we will calculate the factors of 79984 and 80000 and find the biggest common factor number .

Step-1: Prime Factorization of 79984

Prime factors of 79984 are 2, 4999. Prime factorization of 79984 in exponential form is:

79984 = 2⁴ × 4999¹

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 79984

List of positive integer factors of 79984 that divides 79984 without a remainder.

1, 2, 4, 8, 16, 4999, 9998, 19996, 39992

Step-4: Factors of 80000

List of positive integer factors of 80000 that divides 79984 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 79984 and 80000. The biggest common factor number is the GCF number.
So the greatest common factor 79984 and 80000 is 16.

Also check out the Least Common Multiple of 79984 and 80000