What is the Greatest Common Factor of 84999 and 85017?

Greatest common factor (GCF) of 84999 and 85017 is 3.

GCF(84999,85017) = 3

We will now calculate the prime factors of 84999 and 85017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84999 and 85017.

How to find the GCF of 84999 and 85017?

We will first find the prime factorization of 84999 and 85017. After we will calculate the factors of 84999 and 85017 and find the biggest common factor number .

Step-1: Prime Factorization of 84999

Prime factors of 84999 are 3, 29, 977. Prime factorization of 84999 in exponential form is:

84999 = 3¹ × 29¹ × 977¹

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 84999

List of positive integer factors of 84999 that divides 84999 without a remainder.

1, 3, 29, 87, 977, 2931, 28333

Step-4: Factors of 85017

List of positive integer factors of 85017 that divides 84999 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84999 and 85017. The biggest common factor number is the GCF number.
So the greatest common factor 84999 and 85017 is 3.

Also check out the Least Common Multiple of 84999 and 85017