What is the Greatest Common Factor of 41024 and 41036?

Greatest common factor (GCF) of 41024 and 41036 is 4.

GCF(41024,41036) = 4

We will now calculate the prime factors of 41024 and 41036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41024 and 41036.

How to find the GCF of 41024 and 41036?

We will first find the prime factorization of 41024 and 41036. After we will calculate the factors of 41024 and 41036 and find the biggest common factor number .

Step-1: Prime Factorization of 41024

Prime factors of 41024 are 2, 641. Prime factorization of 41024 in exponential form is:

41024 = 2⁶ × 641¹

Step-2: Prime Factorization of 41036

Prime factors of 41036 are 2, 10259. Prime factorization of 41036 in exponential form is:

41036 = 2² × 10259¹

Step-3: Factors of 41024

List of positive integer factors of 41024 that divides 41024 without a remainder.

1, 2, 4, 8, 16, 32, 64, 641, 1282, 2564, 5128, 10256, 20512

Step-4: Factors of 41036

List of positive integer factors of 41036 that divides 41024 without a remainder.

1, 2, 4, 10259, 20518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41024 and 41036. The biggest common factor number is the GCF number.
So the greatest common factor 41024 and 41036 is 4.

Also check out the Least Common Multiple of 41024 and 41036