What is the Greatest Common Factor of 84166 and 84172?

Greatest common factor (GCF) of 84166 and 84172 is 2.

GCF(84166,84172) = 2

We will now calculate the prime factors of 84166 and 84172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84166 and 84172.

How to find the GCF of 84166 and 84172?

We will first find the prime factorization of 84166 and 84172. After we will calculate the factors of 84166 and 84172 and find the biggest common factor number .

Step-1: Prime Factorization of 84166

Prime factors of 84166 are 2, 42083. Prime factorization of 84166 in exponential form is:

84166 = 2¹ × 42083¹

Step-2: Prime Factorization of 84172

Prime factors of 84172 are 2, 11, 1913. Prime factorization of 84172 in exponential form is:

84172 = 2² × 11¹ × 1913¹

Step-3: Factors of 84166

List of positive integer factors of 84166 that divides 84166 without a remainder.

1, 2, 42083

Step-4: Factors of 84172

List of positive integer factors of 84172 that divides 84166 without a remainder.

1, 2, 4, 11, 22, 44, 1913, 3826, 7652, 21043, 42086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84166 and 84172. The biggest common factor number is the GCF number.
So the greatest common factor 84166 and 84172 is 2.

Also check out the Least Common Multiple of 84166 and 84172