What is the Greatest Common Factor of 49851 and 49857?

Greatest common factor (GCF) of 49851 and 49857 is 3.

GCF(49851,49857) = 3

We will now calculate the prime factors of 49851 and 49857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49851 and 49857.

How to find the GCF of 49851 and 49857?

We will first find the prime factorization of 49851 and 49857. After we will calculate the factors of 49851 and 49857 and find the biggest common factor number .

Step-1: Prime Factorization of 49851

Prime factors of 49851 are 3, 29, 191. Prime factorization of 49851 in exponential form is:

49851 = 3² × 29¹ × 191¹

Step-2: Prime Factorization of 49857

Prime factors of 49857 are 3, 16619. Prime factorization of 49857 in exponential form is:

49857 = 3¹ × 16619¹

Step-3: Factors of 49851

List of positive integer factors of 49851 that divides 49851 without a remainder.

1, 3, 9, 29, 87, 191, 261, 573, 1719, 5539, 16617

Step-4: Factors of 49857

List of positive integer factors of 49857 that divides 49851 without a remainder.

1, 3, 16619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49851 and 49857. The biggest common factor number is the GCF number.
So the greatest common factor 49851 and 49857 is 3.

Also check out the Least Common Multiple of 49851 and 49857