What is the Greatest Common Factor of 85005 and 85017?

Greatest common factor (GCF) of 85005 and 85017 is 3.

GCF(85005,85017) = 3

We will now calculate the prime factors of 85005 and 85017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85005 and 85017.

How to find the GCF of 85005 and 85017?

We will first find the prime factorization of 85005 and 85017. After we will calculate the factors of 85005 and 85017 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85017

Prime factors of 85017 are 3, 17, 1667. Prime factorization of 85017 in exponential form is:

85017 = 3¹ × 17¹ × 1667¹

Step-3: Factors of 85005

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

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

Step-4: Factors of 85017

List of positive integer factors of 85017 that divides 85005 without a remainder.

1, 3, 17, 51, 1667, 5001, 28339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85005 and 85017. The biggest common factor number is the GCF number.
So the greatest common factor 85005 and 85017 is 3.

Also check out the Least Common Multiple of 85005 and 85017