What is the Greatest Common Factor of 85000 and 85005?

Greatest common factor (GCF) of 85000 and 85005 is 5.

GCF(85000,85005) = 5

We will now calculate the prime factors of 85000 and 85005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85000 and 85005.

How to find the GCF of 85000 and 85005?

We will first find the prime factorization of 85000 and 85005. After we will calculate the factors of 85000 and 85005 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 85005

Prime factors of 85005 are 3, 5, 1889. Prime factorization of 85005 in exponential form is:

85005 = 3² × 5¹ × 1889¹

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 85005

List of positive integer factors of 85005 that divides 85000 without a remainder.

1, 3, 5, 9, 15, 45, 1889, 5667, 9445, 17001, 28335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85000 and 85005. The biggest common factor number is the GCF number.
So the greatest common factor 85000 and 85005 is 5.

Also check out the Least Common Multiple of 85000 and 85005