What is the Greatest Common Factor of 85000 and 85004?

Greatest common factor (GCF) of 85000 and 85004 is 4.

GCF(85000,85004) = 4

We will now calculate the prime factors of 85000 and 85004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85000 and 85004.

How to find the GCF of 85000 and 85004?

We will first find the prime factorization of 85000 and 85004. After we will calculate the factors of 85000 and 85004 and find the biggest common factor number .

Step-1: Prime Factorization of 85000

Prime factors of 85000 are 2, 5, 17. Prime factorization of 85000 in exponential form is:

85000 = 2³ × 5⁴ × 17¹

Step-2: Prime Factorization of 85004

Prime factors of 85004 are 2, 79, 269. Prime factorization of 85004 in exponential form is:

85004 = 2² × 79¹ × 269¹

Step-3: Factors of 85000

List of positive integer factors of 85000 that divides 85000 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125, 136, 170, 200, 250, 340, 425, 500, 625, 680, 850, 1000, 1250, 1700, 2125, 2500, 3400, 4250, 5000, 8500, 10625, 17000, 21250, 42500

Step-4: Factors of 85004

List of positive integer factors of 85004 that divides 85000 without a remainder.

1, 2, 4, 79, 158, 269, 316, 538, 1076, 21251, 42502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85000 and 85004. The biggest common factor number is the GCF number.
So the greatest common factor 85000 and 85004 is 4.

Also check out the Least Common Multiple of 85000 and 85004