What is the Greatest Common Factor of 47166 and 47173?

Greatest common factor (GCF) of 47166 and 47173 is 7.

GCF(47166,47173) = 7

We will now calculate the prime factors of 47166 and 47173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47166 and 47173.

How to find the GCF of 47166 and 47173?

We will first find the prime factorization of 47166 and 47173. After we will calculate the factors of 47166 and 47173 and find the biggest common factor number .

Step-1: Prime Factorization of 47166

Prime factors of 47166 are 2, 3, 7, 1123. Prime factorization of 47166 in exponential form is:

47166 = 2¹ × 3¹ × 7¹ × 1123¹

Step-2: Prime Factorization of 47173

Prime factors of 47173 are 7, 23, 293. Prime factorization of 47173 in exponential form is:

47173 = 7¹ × 23¹ × 293¹

Step-3: Factors of 47166

List of positive integer factors of 47166 that divides 47166 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1123, 2246, 3369, 6738, 7861, 15722, 23583

Step-4: Factors of 47173

List of positive integer factors of 47173 that divides 47166 without a remainder.

1, 7, 23, 161, 293, 2051, 6739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47166 and 47173. The biggest common factor number is the GCF number.
So the greatest common factor 47166 and 47173 is 7.

Also check out the Least Common Multiple of 47166 and 47173