What is the Greatest Common Factor of 47871 and 47877?

Greatest common factor (GCF) of 47871 and 47877 is 3.

GCF(47871,47877) = 3

We will now calculate the prime factors of 47871 and 47877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47871 and 47877.

How to find the GCF of 47871 and 47877?

We will first find the prime factorization of 47871 and 47877. After we will calculate the factors of 47871 and 47877 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 47877

Prime factors of 47877 are 3, 15959. Prime factorization of 47877 in exponential form is:

47877 = 3¹ × 15959¹

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 47877

List of positive integer factors of 47877 that divides 47871 without a remainder.

1, 3, 15959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47871 and 47877. The biggest common factor number is the GCF number.
So the greatest common factor 47871 and 47877 is 3.

Also check out the Least Common Multiple of 47871 and 47877