What is the Greatest Common Factor of 41824 and 41840?

Greatest common factor (GCF) of 41824 and 41840 is 16.

GCF(41824,41840) = 16

We will now calculate the prime factors of 41824 and 41840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41824 and 41840.

How to find the GCF of 41824 and 41840?

We will first find the prime factorization of 41824 and 41840. After we will calculate the factors of 41824 and 41840 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 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 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 41840

List of positive integer factors of 41840 that divides 41824 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 41824 and 41840. The biggest common factor number is the GCF number.
So the greatest common factor 41824 and 41840 is 16.

Also check out the Least Common Multiple of 41824 and 41840