What is the Greatest Common Factor of 34857 and 34863?

Greatest common factor (GCF) of 34857 and 34863 is 3.

GCF(34857,34863) = 3

We will now calculate the prime factors of 34857 and 34863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34857 and 34863.

How to find the GCF of 34857 and 34863?

We will first find the prime factorization of 34857 and 34863. After we will calculate the factors of 34857 and 34863 and find the biggest common factor number .

Step-1: Prime Factorization of 34857

Prime factors of 34857 are 3, 1291. Prime factorization of 34857 in exponential form is:

34857 = 3³ × 1291¹

Step-2: Prime Factorization of 34863

Prime factors of 34863 are 3, 11621. Prime factorization of 34863 in exponential form is:

34863 = 3¹ × 11621¹

Step-3: Factors of 34857

List of positive integer factors of 34857 that divides 34857 without a remainder.

1, 3, 9, 27, 1291, 3873, 11619

Step-4: Factors of 34863

List of positive integer factors of 34863 that divides 34857 without a remainder.

1, 3, 11621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34857 and 34863. The biggest common factor number is the GCF number.
So the greatest common factor 34857 and 34863 is 3.

Also check out the Least Common Multiple of 34857 and 34863