What is the Greatest Common Factor of 85000 and 85006?

Greatest common factor (GCF) of 85000 and 85006 is 2.

GCF(85000,85006) = 2

We will now calculate the prime factors of 85000 and 85006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85000 and 85006.

How to find the GCF of 85000 and 85006?

We will first find the prime factorization of 85000 and 85006. After we will calculate the factors of 85000 and 85006 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 85006

Prime factors of 85006 are 2, 19, 2237. Prime factorization of 85006 in exponential form is:

85006 = 2¹ × 19¹ × 2237¹

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 85006

List of positive integer factors of 85006 that divides 85000 without a remainder.

1, 2, 19, 38, 2237, 4474, 42503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85000 and 85006. The biggest common factor number is the GCF number.
So the greatest common factor 85000 and 85006 is 2.

Also check out the Least Common Multiple of 85000 and 85006