What is the Greatest Common Factor of 50859 and 50871?

Greatest common factor (GCF) of 50859 and 50871 is 3.

GCF(50859,50871) = 3

We will now calculate the prime factors of 50859 and 50871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50859 and 50871.

How to find the GCF of 50859 and 50871?

We will first find the prime factorization of 50859 and 50871. After we will calculate the factors of 50859 and 50871 and find the biggest common factor number .

Step-1: Prime Factorization of 50859

Prime factors of 50859 are 3, 5651. Prime factorization of 50859 in exponential form is:

50859 = 3² × 5651¹

Step-2: Prime Factorization of 50871

Prime factors of 50871 are 3, 31, 547. Prime factorization of 50871 in exponential form is:

50871 = 3¹ × 31¹ × 547¹

Step-3: Factors of 50859

List of positive integer factors of 50859 that divides 50859 without a remainder.

1, 3, 9, 5651, 16953

Step-4: Factors of 50871

List of positive integer factors of 50871 that divides 50859 without a remainder.

1, 3, 31, 93, 547, 1641, 16957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50859 and 50871. The biggest common factor number is the GCF number.
So the greatest common factor 50859 and 50871 is 3.

Also check out the Least Common Multiple of 50859 and 50871