What is the Greatest Common Factor of 3864 and 3880?

Greatest common factor (GCF) of 3864 and 3880 is 8.

GCF(3864,3880) = 8

We will now calculate the prime factors of 3864 and 3880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3864 and 3880.

How to find the GCF of 3864 and 3880?

We will first find the prime factorization of 3864 and 3880. After we will calculate the factors of 3864 and 3880 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 3880

Prime factors of 3880 are 2, 5, 97. Prime factorization of 3880 in exponential form is:

3880 = 2³ × 5¹ × 97¹

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 3880

List of positive integer factors of 3880 that divides 3864 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3864 and 3880. The biggest common factor number is the GCF number.
So the greatest common factor 3864 and 3880 is 8.

Also check out the Least Common Multiple of 3864 and 3880