What is the Greatest Common Factor of 41824 and 41831?

Greatest common factor (GCF) of 41824 and 41831 is 1.

GCF(41824,41831) = 1

We will now calculate the prime factors of 41824 and 41831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41824 and 41831.

How to find the GCF of 41824 and 41831?

We will first find the prime factorization of 41824 and 41831. After we will calculate the factors of 41824 and 41831 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 41831

Prime factors of 41831 are 59, 709. Prime factorization of 41831 in exponential form is:

41831 = 59¹ × 709¹

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 41831

List of positive integer factors of 41831 that divides 41824 without a remainder.

1, 59, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41824 and 41831. The biggest common factor number is the GCF number.
So the greatest common factor 41824 and 41831 is 1.

Also check out the Least Common Multiple of 41824 and 41831