What is the Greatest Common Factor of 41824 and 41830?

Greatest common factor (GCF) of 41824 and 41830 is 2.

GCF(41824,41830) = 2

We will now calculate the prime factors of 41824 and 41830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41824 and 41830.

How to find the GCF of 41824 and 41830?

We will first find the prime factorization of 41824 and 41830. After we will calculate the factors of 41824 and 41830 and find the biggest common factor number .

Step-1: Prime Factorization of 41824

Prime factors of 41824 are 2, 1307. Prime factorization of 41824 in exponential form is:

41824 = 2⁵ × 1307¹

Step-2: Prime Factorization of 41830

Prime factors of 41830 are 2, 5, 47, 89. Prime factorization of 41830 in exponential form is:

41830 = 2¹ × 5¹ × 47¹ × 89¹

Step-3: Factors of 41824

List of positive integer factors of 41824 that divides 41824 without a remainder.

1, 2, 4, 8, 16, 32, 1307, 2614, 5228, 10456, 20912

Step-4: Factors of 41830

List of positive integer factors of 41830 that divides 41824 without a remainder.

1, 2, 5, 10, 47, 89, 94, 178, 235, 445, 470, 890, 4183, 8366, 20915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41824 and 41830. The biggest common factor number is the GCF number.
So the greatest common factor 41824 and 41830 is 2.

Also check out the Least Common Multiple of 41824 and 41830