What is the Greatest Common Factor of 3864 and 3871?

Greatest common factor (GCF) of 3864 and 3871 is 7.

GCF(3864,3871) = 7

We will now calculate the prime factors of 3864 and 3871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3864 and 3871.

How to find the GCF of 3864 and 3871?

We will first find the prime factorization of 3864 and 3871. After we will calculate the factors of 3864 and 3871 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 3871

Prime factors of 3871 are 7, 79. Prime factorization of 3871 in exponential form is:

3871 = 7² × 79¹

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 3871

List of positive integer factors of 3871 that divides 3864 without a remainder.

1, 7, 49, 79, 553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3864 and 3871. The biggest common factor number is the GCF number.
So the greatest common factor 3864 and 3871 is 7.

Also check out the Least Common Multiple of 3864 and 3871