What is the Greatest Common Factor of 41829 and 41841?

Greatest common factor (GCF) of 41829 and 41841 is 3.

GCF(41829,41841) = 3

We will now calculate the prime factors of 41829 and 41841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41829 and 41841.

How to find the GCF of 41829 and 41841?

We will first find the prime factorization of 41829 and 41841. After we will calculate the factors of 41829 and 41841 and find the biggest common factor number .

Step-1: Prime Factorization of 41829

Prime factors of 41829 are 3, 73, 191. Prime factorization of 41829 in exponential form is:

41829 = 3¹ × 73¹ × 191¹

Step-2: Prime Factorization of 41841

Prime factors of 41841 are 3, 4649. Prime factorization of 41841 in exponential form is:

41841 = 3² × 4649¹

Step-3: Factors of 41829

List of positive integer factors of 41829 that divides 41829 without a remainder.

1, 3, 73, 191, 219, 573, 13943

Step-4: Factors of 41841

List of positive integer factors of 41841 that divides 41829 without a remainder.

1, 3, 9, 4649, 13947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41829 and 41841. The biggest common factor number is the GCF number.
So the greatest common factor 41829 and 41841 is 3.

Also check out the Least Common Multiple of 41829 and 41841