What is the Greatest Common Factor of 3828 and 3843?

Greatest common factor (GCF) of 3828 and 3843 is 3.

GCF(3828,3843) = 3

We will now calculate the prime factors of 3828 and 3843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3828 and 3843.

How to find the GCF of 3828 and 3843?

We will first find the prime factorization of 3828 and 3843. After we will calculate the factors of 3828 and 3843 and find the biggest common factor number .

Step-1: Prime Factorization of 3828

Prime factors of 3828 are 2, 3, 11, 29. Prime factorization of 3828 in exponential form is:

3828 = 2² × 3¹ × 11¹ × 29¹

Step-2: Prime Factorization of 3843

Prime factors of 3843 are 3, 7, 61. Prime factorization of 3843 in exponential form is:

3843 = 3² × 7¹ × 61¹

Step-3: Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914

Step-4: Factors of 3843

List of positive integer factors of 3843 that divides 3828 without a remainder.

1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3828 and 3843. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3843 is 3.

Also check out the Least Common Multiple of 3828 and 3843