What is the Greatest Common Factor of 41424 and 41441?

Greatest common factor (GCF) of 41424 and 41441 is 1.

GCF(41424,41441) = 1

We will now calculate the prime factors of 41424 and 41441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41424 and 41441.

How to find the GCF of 41424 and 41441?

We will first find the prime factorization of 41424 and 41441. After we will calculate the factors of 41424 and 41441 and find the biggest common factor number .

Step-1: Prime Factorization of 41424

Prime factors of 41424 are 2, 3, 863. Prime factorization of 41424 in exponential form is:

41424 = 2⁴ × 3¹ × 863¹

Step-2: Prime Factorization of 41441

Prime factors of 41441 are 29, 1429. Prime factorization of 41441 in exponential form is:

41441 = 29¹ × 1429¹

Step-3: Factors of 41424

List of positive integer factors of 41424 that divides 41424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 863, 1726, 2589, 3452, 5178, 6904, 10356, 13808, 20712

Step-4: Factors of 41441

List of positive integer factors of 41441 that divides 41424 without a remainder.

1, 29, 1429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41424 and 41441. The biggest common factor number is the GCF number.
So the greatest common factor 41424 and 41441 is 1.

Also check out the Least Common Multiple of 41424 and 41441