What is the Greatest Common Factor of 41824 and 41844?

Greatest common factor (GCF) of 41824 and 41844 is 4.

GCF(41824,41844) = 4

We will now calculate the prime factors of 41824 and 41844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41824 and 41844.

How to find the GCF of 41824 and 41844?

We will first find the prime factorization of 41824 and 41844. After we will calculate the factors of 41824 and 41844 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 41844

Prime factors of 41844 are 2, 3, 11, 317. Prime factorization of 41844 in exponential form is:

41844 = 2² × 3¹ × 11¹ × 317¹

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 41844

List of positive integer factors of 41844 that divides 41824 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 317, 634, 951, 1268, 1902, 3487, 3804, 6974, 10461, 13948, 20922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41824 and 41844. The biggest common factor number is the GCF number.
So the greatest common factor 41824 and 41844 is 4.

Also check out the Least Common Multiple of 41824 and 41844