What is the Greatest Common Factor of 3834 and 3852?

Greatest common factor (GCF) of 3834 and 3852 is 18.

GCF(3834,3852) = 18

We will now calculate the prime factors of 3834 and 3852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3834 and 3852.

How to find the GCF of 3834 and 3852?

We will first find the prime factorization of 3834 and 3852. After we will calculate the factors of 3834 and 3852 and find the biggest common factor number .

Step-1: Prime Factorization of 3834

Prime factors of 3834 are 2, 3, 71. Prime factorization of 3834 in exponential form is:

3834 = 2¹ × 3³ × 71¹

Step-2: 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-3: Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917

Step-4: Factors of 3852

List of positive integer factors of 3852 that divides 3834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3834 and 3852. The biggest common factor number is the GCF number.
So the greatest common factor 3834 and 3852 is 18.

Also check out the Least Common Multiple of 3834 and 3852