What is the Greatest Common Factor of 47375 and 47380?

Greatest common factor (GCF) of 47375 and 47380 is 5.

GCF(47375,47380) = 5

We will now calculate the prime factors of 47375 and 47380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47375 and 47380.

How to find the GCF of 47375 and 47380?

We will first find the prime factorization of 47375 and 47380. After we will calculate the factors of 47375 and 47380 and find the biggest common factor number .

Step-1: Prime Factorization of 47375

Prime factors of 47375 are 5, 379. Prime factorization of 47375 in exponential form is:

47375 = 5³ × 379¹

Step-2: Prime Factorization of 47380

Prime factors of 47380 are 2, 5, 23, 103. Prime factorization of 47380 in exponential form is:

47380 = 2² × 5¹ × 23¹ × 103¹

Step-3: Factors of 47375

List of positive integer factors of 47375 that divides 47375 without a remainder.

1, 5, 25, 125, 379, 1895, 9475

Step-4: Factors of 47380

List of positive integer factors of 47380 that divides 47375 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 103, 115, 206, 230, 412, 460, 515, 1030, 2060, 2369, 4738, 9476, 11845, 23690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47375 and 47380. The biggest common factor number is the GCF number.
So the greatest common factor 47375 and 47380 is 5.

Also check out the Least Common Multiple of 47375 and 47380