What is the Greatest Common Factor of 34863 and 34878?

Greatest common factor (GCF) of 34863 and 34878 is 3.

GCF(34863,34878) = 3

We will now calculate the prime factors of 34863 and 34878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34863 and 34878.

How to find the GCF of 34863 and 34878?

We will first find the prime factorization of 34863 and 34878. After we will calculate the factors of 34863 and 34878 and find the biggest common factor number .

Step-1: Prime Factorization of 34863

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

34863 = 3¹ × 11621¹

Step-2: Prime Factorization of 34878

Prime factors of 34878 are 2, 3, 5813. Prime factorization of 34878 in exponential form is:

34878 = 2¹ × 3¹ × 5813¹

Step-3: Factors of 34863

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

1, 3, 11621

Step-4: Factors of 34878

List of positive integer factors of 34878 that divides 34863 without a remainder.

1, 2, 3, 6, 5813, 11626, 17439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34863 and 34878. The biggest common factor number is the GCF number.
So the greatest common factor 34863 and 34878 is 3.

Also check out the Least Common Multiple of 34863 and 34878