What is the Greatest Common Factor of 3876 and 3888?

Greatest common factor (GCF) of 3876 and 3888 is 12.

GCF(3876,3888) = 12

We will now calculate the prime factors of 3876 and 3888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3876 and 3888.

How to find the GCF of 3876 and 3888?

We will first find the prime factorization of 3876 and 3888. After we will calculate the factors of 3876 and 3888 and find the biggest common factor number .

Step-1: Prime Factorization of 3876

Prime factors of 3876 are 2, 3, 17, 19. Prime factorization of 3876 in exponential form is:

3876 = 2² × 3¹ × 17¹ × 19¹

Step-2: Prime Factorization of 3888

Prime factors of 3888 are 2, 3. Prime factorization of 3888 in exponential form is:

3888 = 2⁴ × 3⁵

Step-3: Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938

Step-4: Factors of 3888

List of positive integer factors of 3888 that divides 3876 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3876 and 3888. The biggest common factor number is the GCF number.
So the greatest common factor 3876 and 3888 is 12.

Also check out the Least Common Multiple of 3876 and 3888