What is the Greatest Common Factor of 47173 and 47180?

Greatest common factor (GCF) of 47173 and 47180 is 7.

GCF(47173,47180) = 7

We will now calculate the prime factors of 47173 and 47180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47173 and 47180.

How to find the GCF of 47173 and 47180?

We will first find the prime factorization of 47173 and 47180. After we will calculate the factors of 47173 and 47180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47180

Prime factors of 47180 are 2, 5, 7, 337. Prime factorization of 47180 in exponential form is:

47180 = 2² × 5¹ × 7¹ × 337¹

Step-3: Factors of 47173

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

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

Step-4: Factors of 47180

List of positive integer factors of 47180 that divides 47173 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 337, 674, 1348, 1685, 2359, 3370, 4718, 6740, 9436, 11795, 23590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47173 and 47180. The biggest common factor number is the GCF number.
So the greatest common factor 47173 and 47180 is 7.

Also check out the Least Common Multiple of 47173 and 47180