What is the Greatest Common Factor of 84174 and 84189?

Greatest common factor (GCF) of 84174 and 84189 is 3.

GCF(84174,84189) = 3

We will now calculate the prime factors of 84174 and 84189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84174 and 84189.

How to find the GCF of 84174 and 84189?

We will first find the prime factorization of 84174 and 84189. After we will calculate the factors of 84174 and 84189 and find the biggest common factor number .

Step-1: Prime Factorization of 84174

Prime factors of 84174 are 2, 3, 14029. Prime factorization of 84174 in exponential form is:

84174 = 2¹ × 3¹ × 14029¹

Step-2: Prime Factorization of 84189

Prime factors of 84189 are 3, 7, 19, 211. Prime factorization of 84189 in exponential form is:

84189 = 3¹ × 7¹ × 19¹ × 211¹

Step-3: Factors of 84174

List of positive integer factors of 84174 that divides 84174 without a remainder.

1, 2, 3, 6, 14029, 28058, 42087

Step-4: Factors of 84189

List of positive integer factors of 84189 that divides 84174 without a remainder.

1, 3, 7, 19, 21, 57, 133, 211, 399, 633, 1477, 4009, 4431, 12027, 28063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84174 and 84189. The biggest common factor number is the GCF number.
So the greatest common factor 84174 and 84189 is 3.

Also check out the Least Common Multiple of 84174 and 84189