What is the Greatest Common Factor of 34857 and 34872?

Greatest common factor (GCF) of 34857 and 34872 is 3.

GCF(34857,34872) = 3

We will now calculate the prime factors of 34857 and 34872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34857 and 34872.

How to find the GCF of 34857 and 34872?

We will first find the prime factorization of 34857 and 34872. After we will calculate the factors of 34857 and 34872 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 34872

Prime factors of 34872 are 2, 3, 1453. Prime factorization of 34872 in exponential form is:

34872 = 2³ × 3¹ × 1453¹

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 34872

List of positive integer factors of 34872 that divides 34857 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1453, 2906, 4359, 5812, 8718, 11624, 17436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34857 and 34872. The biggest common factor number is the GCF number.
So the greatest common factor 34857 and 34872 is 3.

Also check out the Least Common Multiple of 34857 and 34872