What is the Greatest Common Factor of 49148 and 49166?

Greatest common factor (GCF) of 49148 and 49166 is 2.

GCF(49148,49166) = 2

We will now calculate the prime factors of 49148 and 49166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49148 and 49166.

How to find the GCF of 49148 and 49166?

We will first find the prime factorization of 49148 and 49166. After we will calculate the factors of 49148 and 49166 and find the biggest common factor number .

Step-1: Prime Factorization of 49148

Prime factors of 49148 are 2, 11, 1117. Prime factorization of 49148 in exponential form is:

49148 = 2² × 11¹ × 1117¹

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 49148

List of positive integer factors of 49148 that divides 49148 without a remainder.

1, 2, 4, 11, 22, 44, 1117, 2234, 4468, 12287, 24574

Step-4: Factors of 49166

List of positive integer factors of 49166 that divides 49148 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 49148 and 49166. The biggest common factor number is the GCF number.
So the greatest common factor 49148 and 49166 is 2.

Also check out the Least Common Multiple of 49148 and 49166