What is the Greatest Common Factor of 46857 and 46863?

Greatest common factor (GCF) of 46857 and 46863 is 3.

GCF(46857,46863) = 3

We will now calculate the prime factors of 46857 and 46863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46857 and 46863.

How to find the GCF of 46857 and 46863?

We will first find the prime factorization of 46857 and 46863. After we will calculate the factors of 46857 and 46863 and find the biggest common factor number .

Step-1: Prime Factorization of 46857

Prime factors of 46857 are 3, 15619. Prime factorization of 46857 in exponential form is:

46857 = 3¹ × 15619¹

Step-2: Prime Factorization of 46863

Prime factors of 46863 are 3, 41, 127. Prime factorization of 46863 in exponential form is:

46863 = 3² × 41¹ × 127¹

Step-3: Factors of 46857

List of positive integer factors of 46857 that divides 46857 without a remainder.

1, 3, 15619

Step-4: Factors of 46863

List of positive integer factors of 46863 that divides 46857 without a remainder.

1, 3, 9, 41, 123, 127, 369, 381, 1143, 5207, 15621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46857 and 46863. The biggest common factor number is the GCF number.
So the greatest common factor 46857 and 46863 is 3.

Also check out the Least Common Multiple of 46857 and 46863