What is the Greatest Common Factor of 4854 and 4869?

Greatest common factor (GCF) of 4854 and 4869 is 3.

GCF(4854,4869) = 3

We will now calculate the prime factors of 4854 and 4869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4854 and 4869.

How to find the GCF of 4854 and 4869?

We will first find the prime factorization of 4854 and 4869. After we will calculate the factors of 4854 and 4869 and find the biggest common factor number .

Step-1: Prime Factorization of 4854

Prime factors of 4854 are 2, 3, 809. Prime factorization of 4854 in exponential form is:

4854 = 2¹ × 3¹ × 809¹

Step-2: Prime Factorization of 4869

Prime factors of 4869 are 3, 541. Prime factorization of 4869 in exponential form is:

4869 = 3² × 541¹

Step-3: Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1, 2, 3, 6, 809, 1618, 2427

Step-4: Factors of 4869

List of positive integer factors of 4869 that divides 4854 without a remainder.

1, 3, 9, 541, 1623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4854 and 4869. The biggest common factor number is the GCF number.
So the greatest common factor 4854 and 4869 is 3.

Also check out the Least Common Multiple of 4854 and 4869