What is the Greatest Common Factor of 84147 and 84165?

Greatest common factor (GCF) of 84147 and 84165 is 3.

GCF(84147,84165) = 3

We will now calculate the prime factors of 84147 and 84165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84147 and 84165.

How to find the GCF of 84147 and 84165?

We will first find the prime factorization of 84147 and 84165. After we will calculate the factors of 84147 and 84165 and find the biggest common factor number .

Step-1: Prime Factorization of 84147

Prime factors of 84147 are 3, 7, 4007. Prime factorization of 84147 in exponential form is:

84147 = 3¹ × 7¹ × 4007¹

Step-2: Prime Factorization of 84165

Prime factors of 84165 are 3, 5, 31, 181. Prime factorization of 84165 in exponential form is:

84165 = 3¹ × 5¹ × 31¹ × 181¹

Step-3: Factors of 84147

List of positive integer factors of 84147 that divides 84147 without a remainder.

1, 3, 7, 21, 4007, 12021, 28049

Step-4: Factors of 84165

List of positive integer factors of 84165 that divides 84147 without a remainder.

1, 3, 5, 15, 31, 93, 155, 181, 465, 543, 905, 2715, 5611, 16833, 28055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84147 and 84165. The biggest common factor number is the GCF number.
So the greatest common factor 84147 and 84165 is 3.

Also check out the Least Common Multiple of 84147 and 84165