What is the Greatest Common Factor of 47865 and 47875?

Greatest common factor (GCF) of 47865 and 47875 is 5.

GCF(47865,47875) = 5

We will now calculate the prime factors of 47865 and 47875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47865 and 47875.

How to find the GCF of 47865 and 47875?

We will first find the prime factorization of 47865 and 47875. After we will calculate the factors of 47865 and 47875 and find the biggest common factor number .

Step-1: Prime Factorization of 47865

Prime factors of 47865 are 3, 5, 3191. Prime factorization of 47865 in exponential form is:

47865 = 3¹ × 5¹ × 3191¹

Step-2: Prime Factorization of 47875

Prime factors of 47875 are 5, 383. Prime factorization of 47875 in exponential form is:

47875 = 5³ × 383¹

Step-3: Factors of 47865

List of positive integer factors of 47865 that divides 47865 without a remainder.

1, 3, 5, 15, 3191, 9573, 15955

Step-4: Factors of 47875

List of positive integer factors of 47875 that divides 47865 without a remainder.

1, 5, 25, 125, 383, 1915, 9575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47865 and 47875. The biggest common factor number is the GCF number.
So the greatest common factor 47865 and 47875 is 5.

Also check out the Least Common Multiple of 47865 and 47875