What is the Greatest Common Factor of 84999 and 85014?

Greatest common factor (GCF) of 84999 and 85014 is 3.

GCF(84999,85014) = 3

We will now calculate the prime factors of 84999 and 85014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84999 and 85014.

How to find the GCF of 84999 and 85014?

We will first find the prime factorization of 84999 and 85014. After we will calculate the factors of 84999 and 85014 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 85014

Prime factors of 85014 are 2, 3, 4723. Prime factorization of 85014 in exponential form is:

85014 = 2¹ × 3² × 4723¹

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 85014

List of positive integer factors of 85014 that divides 84999 without a remainder.

1, 2, 3, 6, 9, 18, 4723, 9446, 14169, 28338, 42507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84999 and 85014. The biggest common factor number is the GCF number.
So the greatest common factor 84999 and 85014 is 3.

Also check out the Least Common Multiple of 84999 and 85014