What is the Greatest Common Factor of 3864 and 3879?

Greatest common factor (GCF) of 3864 and 3879 is 3.

GCF(3864,3879) = 3

We will now calculate the prime factors of 3864 and 3879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3864 and 3879.

How to find the GCF of 3864 and 3879?

We will first find the prime factorization of 3864 and 3879. After we will calculate the factors of 3864 and 3879 and find the biggest common factor number .

Step-1: Prime Factorization of 3864

Prime factors of 3864 are 2, 3, 7, 23. Prime factorization of 3864 in exponential form is:

3864 = 2³ × 3¹ × 7¹ × 23¹

Step-2: Prime Factorization of 3879

Prime factors of 3879 are 3, 431. Prime factorization of 3879 in exponential form is:

3879 = 3² × 431¹

Step-3: Factors of 3864

List of positive integer factors of 3864 that divides 3864 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932

Step-4: Factors of 3879

List of positive integer factors of 3879 that divides 3864 without a remainder.

1, 3, 9, 431, 1293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3864 and 3879. The biggest common factor number is the GCF number.
So the greatest common factor 3864 and 3879 is 3.

Also check out the Least Common Multiple of 3864 and 3879