What is the Greatest Common Factor of 80000 and 80004?

Greatest common factor (GCF) of 80000 and 80004 is 4.

GCF(80000,80004) = 4

We will now calculate the prime factors of 80000 and 80004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80000 and 80004.

How to find the GCF of 80000 and 80004?

We will first find the prime factorization of 80000 and 80004. After we will calculate the factors of 80000 and 80004 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 80004

Prime factors of 80004 are 2, 3, 59, 113. Prime factorization of 80004 in exponential form is:

80004 = 2² × 3¹ × 59¹ × 113¹

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 80004

List of positive integer factors of 80004 that divides 80000 without a remainder.

1, 2, 3, 4, 6, 12, 59, 113, 118, 177, 226, 236, 339, 354, 452, 678, 708, 1356, 6667, 13334, 20001, 26668, 40002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80000 and 80004. The biggest common factor number is the GCF number.
So the greatest common factor 80000 and 80004 is 4.

Also check out the Least Common Multiple of 80000 and 80004