What is the Greatest Common Factor of 84699 and 84705?

Greatest common factor (GCF) of 84699 and 84705 is 3.

GCF(84699,84705) = 3

We will now calculate the prime factors of 84699 and 84705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84699 and 84705.

How to find the GCF of 84699 and 84705?

We will first find the prime factorization of 84699 and 84705. After we will calculate the factors of 84699 and 84705 and find the biggest common factor number .

Step-1: Prime Factorization of 84699

Prime factors of 84699 are 3, 3137. Prime factorization of 84699 in exponential form is:

84699 = 3³ × 3137¹

Step-2: 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-3: Factors of 84699

List of positive integer factors of 84699 that divides 84699 without a remainder.

1, 3, 9, 27, 3137, 9411, 28233

Step-4: Factors of 84705

List of positive integer factors of 84705 that divides 84699 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84699 and 84705. The biggest common factor number is the GCF number.
So the greatest common factor 84699 and 84705 is 3.

Also check out the Least Common Multiple of 84699 and 84705