What is the Greatest Common Factor of 47871 and 47882?

Greatest common factor (GCF) of 47871 and 47882 is 1.

GCF(47871,47882) = 1

We will now calculate the prime factors of 47871 and 47882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47871 and 47882.

How to find the GCF of 47871 and 47882?

We will first find the prime factorization of 47871 and 47882. After we will calculate the factors of 47871 and 47882 and find the biggest common factor number .

Step-1: Prime Factorization of 47871

Prime factors of 47871 are 3, 197. Prime factorization of 47871 in exponential form is:

47871 = 3⁵ × 197¹

Step-2: Prime Factorization of 47882

Prime factors of 47882 are 2, 89, 269. Prime factorization of 47882 in exponential form is:

47882 = 2¹ × 89¹ × 269¹

Step-3: Factors of 47871

List of positive integer factors of 47871 that divides 47871 without a remainder.

1, 3, 9, 27, 81, 197, 243, 591, 1773, 5319, 15957

Step-4: Factors of 47882

List of positive integer factors of 47882 that divides 47871 without a remainder.

1, 2, 89, 178, 269, 538, 23941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47871 and 47882. The biggest common factor number is the GCF number.
So the greatest common factor 47871 and 47882 is 1.

Also check out the Least Common Multiple of 47871 and 47882