What is the Greatest Common Factor of 85000 and 85013?

Greatest common factor (GCF) of 85000 and 85013 is 1.

GCF(85000,85013) = 1

We will now calculate the prime factors of 85000 and 85013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85000 and 85013.

How to find the GCF of 85000 and 85013?

We will first find the prime factorization of 85000 and 85013. After we will calculate the factors of 85000 and 85013 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 85013

Prime factors of 85013 are 151, 563. Prime factorization of 85013 in exponential form is:

85013 = 151¹ × 563¹

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 85013

List of positive integer factors of 85013 that divides 85000 without a remainder.

1, 151, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85000 and 85013. The biggest common factor number is the GCF number.
So the greatest common factor 85000 and 85013 is 1.

Also check out the Least Common Multiple of 85000 and 85013