What is the Greatest Common Factor of 84999 and 85019?

Greatest common factor (GCF) of 84999 and 85019 is 1.

GCF(84999,85019) = 1

We will now calculate the prime factors of 84999 and 85019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84999 and 85019.

How to find the GCF of 84999 and 85019?

We will first find the prime factorization of 84999 and 85019. After we will calculate the factors of 84999 and 85019 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 85019

Prime factors of 85019 are 11, 59, 131. Prime factorization of 85019 in exponential form is:

85019 = 11¹ × 59¹ × 131¹

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 85019

List of positive integer factors of 85019 that divides 84999 without a remainder.

1, 11, 59, 131, 649, 1441, 7729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84999 and 85019. The biggest common factor number is the GCF number.
So the greatest common factor 84999 and 85019 is 1.

Also check out the Least Common Multiple of 84999 and 85019