What is the Greatest Common Factor of 41829 and 41840?

Greatest common factor (GCF) of 41829 and 41840 is 1.

GCF(41829,41840) = 1

We will now calculate the prime factors of 41829 and 41840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41829 and 41840.

How to find the GCF of 41829 and 41840?

We will first find the prime factorization of 41829 and 41840. After we will calculate the factors of 41829 and 41840 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 41840

Prime factors of 41840 are 2, 5, 523. Prime factorization of 41840 in exponential form is:

41840 = 2⁴ × 5¹ × 523¹

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 41840

List of positive integer factors of 41840 that divides 41829 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 523, 1046, 2092, 2615, 4184, 5230, 8368, 10460, 20920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41829 and 41840. The biggest common factor number is the GCF number.
So the greatest common factor 41829 and 41840 is 1.

Also check out the Least Common Multiple of 41829 and 41840