What is the Greatest Common Factor of 56148 and 56166?

Greatest common factor (GCF) of 56148 and 56166 is 6.

GCF(56148,56166) = 6

We will now calculate the prime factors of 56148 and 56166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56148 and 56166.

How to find the GCF of 56148 and 56166?

We will first find the prime factorization of 56148 and 56166. After we will calculate the factors of 56148 and 56166 and find the biggest common factor number .

Step-1: Prime Factorization of 56148

Prime factors of 56148 are 2, 3, 4679. Prime factorization of 56148 in exponential form is:

56148 = 2² × 3¹ × 4679¹

Step-2: Prime Factorization of 56166

Prime factors of 56166 are 2, 3, 11, 23, 37. Prime factorization of 56166 in exponential form is:

56166 = 2¹ × 3¹ × 11¹ × 23¹ × 37¹

Step-3: Factors of 56148

List of positive integer factors of 56148 that divides 56148 without a remainder.

1, 2, 3, 4, 6, 12, 4679, 9358, 14037, 18716, 28074

Step-4: Factors of 56166

List of positive integer factors of 56166 that divides 56148 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 37, 46, 66, 69, 74, 111, 138, 222, 253, 407, 506, 759, 814, 851, 1221, 1518, 1702, 2442, 2553, 5106, 9361, 18722, 28083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56148 and 56166. The biggest common factor number is the GCF number.
So the greatest common factor 56148 and 56166 is 6.

Also check out the Least Common Multiple of 56148 and 56166