What is the Greatest Common Factor of 3874 and 3888?

Greatest common factor (GCF) of 3874 and 3888 is 2.

GCF(3874,3888) = 2

We will now calculate the prime factors of 3874 and 3888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3874 and 3888.

How to find the GCF of 3874 and 3888?

We will first find the prime factorization of 3874 and 3888. After we will calculate the factors of 3874 and 3888 and find the biggest common factor number .

Step-1: Prime Factorization of 3874

Prime factors of 3874 are 2, 13, 149. Prime factorization of 3874 in exponential form is:

3874 = 2¹ × 13¹ × 149¹

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 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1, 2, 13, 26, 149, 298, 1937

Step-4: Factors of 3888

List of positive integer factors of 3888 that divides 3874 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 3874 and 3888. The biggest common factor number is the GCF number.
So the greatest common factor 3874 and 3888 is 2.

Also check out the Least Common Multiple of 3874 and 3888