What is the Greatest Common Factor of 41829 and 41849?

Greatest common factor (GCF) of 41829 and 41849 is 1.

GCF(41829,41849) = 1

We will now calculate the prime factors of 41829 and 41849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41829 and 41849.

How to find the GCF of 41829 and 41849?

We will first find the prime factorization of 41829 and 41849. After we will calculate the factors of 41829 and 41849 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 41849

Prime factors of 41849 are 41849. Prime factorization of 41849 in exponential form is:

41849 = 41849¹

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 41849

List of positive integer factors of 41849 that divides 41829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41829 and 41849. The biggest common factor number is the GCF number.
So the greatest common factor 41829 and 41849 is 1.

Also check out the Least Common Multiple of 41829 and 41849