What is the Greatest Common Factor of 49146 and 49166?

Greatest common factor (GCF) of 49146 and 49166 is 2.

GCF(49146,49166) = 2

We will now calculate the prime factors of 49146 and 49166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49146 and 49166.

How to find the GCF of 49146 and 49166?

We will first find the prime factorization of 49146 and 49166. After we will calculate the factors of 49146 and 49166 and find the biggest common factor number .

Step-1: Prime Factorization of 49146

Prime factors of 49146 are 2, 3, 8191. Prime factorization of 49146 in exponential form is:

49146 = 2¹ × 3¹ × 8191¹

Step-2: Prime Factorization of 49166

Prime factors of 49166 are 2, 13, 31, 61. Prime factorization of 49166 in exponential form is:

49166 = 2¹ × 13¹ × 31¹ × 61¹

Step-3: Factors of 49146

List of positive integer factors of 49146 that divides 49146 without a remainder.

1, 2, 3, 6, 8191, 16382, 24573

Step-4: Factors of 49166

List of positive integer factors of 49166 that divides 49146 without a remainder.

1, 2, 13, 26, 31, 61, 62, 122, 403, 793, 806, 1586, 1891, 3782, 24583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49146 and 49166. The biggest common factor number is the GCF number.
So the greatest common factor 49146 and 49166 is 2.

Also check out the Least Common Multiple of 49146 and 49166