What is the Greatest Common Factor of 3852 and 3868?

Greatest common factor (GCF) of 3852 and 3868 is 4.

GCF(3852,3868) = 4

We will now calculate the prime factors of 3852 and 3868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3852 and 3868.

How to find the GCF of 3852 and 3868?

We will first find the prime factorization of 3852 and 3868. After we will calculate the factors of 3852 and 3868 and find the biggest common factor number .

Step-1: Prime Factorization of 3852

Prime factors of 3852 are 2, 3, 107. Prime factorization of 3852 in exponential form is:

3852 = 2² × 3² × 107¹

Step-2: Prime Factorization of 3868

Prime factors of 3868 are 2, 967. Prime factorization of 3868 in exponential form is:

3868 = 2² × 967¹

Step-3: Factors of 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926

Step-4: Factors of 3868

List of positive integer factors of 3868 that divides 3852 without a remainder.

1, 2, 4, 967, 1934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3852 and 3868. The biggest common factor number is the GCF number.
So the greatest common factor 3852 and 3868 is 4.

Also check out the Least Common Multiple of 3852 and 3868