What is the Greatest Common Factor of 3829 and 3843?

Greatest common factor (GCF) of 3829 and 3843 is 7.

GCF(3829,3843) = 7

We will now calculate the prime factors of 3829 and 3843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3829 and 3843.

How to find the GCF of 3829 and 3843?

We will first find the prime factorization of 3829 and 3843. After we will calculate the factors of 3829 and 3843 and find the biggest common factor number .

Step-1: Prime Factorization of 3829

Prime factors of 3829 are 7, 547. Prime factorization of 3829 in exponential form is:

3829 = 7¹ × 547¹

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 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1, 7, 547

Step-4: Factors of 3843

List of positive integer factors of 3843 that divides 3829 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 3829 and 3843. The biggest common factor number is the GCF number.
So the greatest common factor 3829 and 3843 is 7.

Also check out the Least Common Multiple of 3829 and 3843