What is the Greatest Common Factor of 84999 and 85009?

Greatest common factor (GCF) of 84999 and 85009 is 1.

GCF(84999,85009) = 1

We will now calculate the prime factors of 84999 and 85009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84999 and 85009.

How to find the GCF of 84999 and 85009?

We will first find the prime factorization of 84999 and 85009. After we will calculate the factors of 84999 and 85009 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 85009

Prime factors of 85009 are 85009. Prime factorization of 85009 in exponential form is:

85009 = 85009¹

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 85009

List of positive integer factors of 85009 that divides 84999 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84999 and 85009. The biggest common factor number is the GCF number.
So the greatest common factor 84999 and 85009 is 1.

Also check out the Least Common Multiple of 84999 and 85009