What is the Greatest Common Factor of 84174 and 84188?

Greatest common factor (GCF) of 84174 and 84188 is 2.

GCF(84174,84188) = 2

We will now calculate the prime factors of 84174 and 84188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84174 and 84188.

How to find the GCF of 84174 and 84188?

We will first find the prime factorization of 84174 and 84188. After we will calculate the factors of 84174 and 84188 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 84188

Prime factors of 84188 are 2, 13, 1619. Prime factorization of 84188 in exponential form is:

84188 = 2² × 13¹ × 1619¹

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 84188

List of positive integer factors of 84188 that divides 84174 without a remainder.

1, 2, 4, 13, 26, 52, 1619, 3238, 6476, 21047, 42094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84174 and 84188. The biggest common factor number is the GCF number.
So the greatest common factor 84174 and 84188 is 2.

Also check out the Least Common Multiple of 84174 and 84188