What is the Greatest Common Factor of 84705 and 84717?

Greatest common factor (GCF) of 84705 and 84717 is 3.

GCF(84705,84717) = 3

We will now calculate the prime factors of 84705 and 84717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84705 and 84717.

How to find the GCF of 84705 and 84717?

We will first find the prime factorization of 84705 and 84717. After we will calculate the factors of 84705 and 84717 and find the biggest common factor number .

Step-1: Prime Factorization of 84705

Prime factors of 84705 are 3, 5, 5647. Prime factorization of 84705 in exponential form is:

84705 = 3¹ × 5¹ × 5647¹

Step-2: Prime Factorization of 84717

Prime factors of 84717 are 3, 9413. Prime factorization of 84717 in exponential form is:

84717 = 3² × 9413¹

Step-3: Factors of 84705

List of positive integer factors of 84705 that divides 84705 without a remainder.

1, 3, 5, 15, 5647, 16941, 28235

Step-4: Factors of 84717

List of positive integer factors of 84717 that divides 84705 without a remainder.

1, 3, 9, 9413, 28239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84705 and 84717. The biggest common factor number is the GCF number.
So the greatest common factor 84705 and 84717 is 3.

Also check out the Least Common Multiple of 84705 and 84717