What is the Greatest Common Factor of 84170 and 84188?

Greatest common factor (GCF) of 84170 and 84188 is 2.

GCF(84170,84188) = 2

We will now calculate the prime factors of 84170 and 84188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84170 and 84188.

How to find the GCF of 84170 and 84188?

We will first find the prime factorization of 84170 and 84188. After we will calculate the factors of 84170 and 84188 and find the biggest common factor number .

Step-1: Prime Factorization of 84170

Prime factors of 84170 are 2, 5, 19, 443. Prime factorization of 84170 in exponential form is:

84170 = 2¹ × 5¹ × 19¹ × 443¹

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 84170

List of positive integer factors of 84170 that divides 84170 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 443, 886, 2215, 4430, 8417, 16834, 42085

Step-4: Factors of 84188

List of positive integer factors of 84188 that divides 84170 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 84170 and 84188. The biggest common factor number is the GCF number.
So the greatest common factor 84170 and 84188 is 2.

Also check out the Least Common Multiple of 84170 and 84188