What is the Greatest Common Factor of 40544 and 40549?

Greatest common factor (GCF) of 40544 and 40549 is 1.

GCF(40544,40549) = 1

We will now calculate the prime factors of 40544 and 40549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40544 and 40549.

How to find the GCF of 40544 and 40549?

We will first find the prime factorization of 40544 and 40549. After we will calculate the factors of 40544 and 40549 and find the biggest common factor number .

Step-1: Prime Factorization of 40544

Prime factors of 40544 are 2, 7, 181. Prime factorization of 40544 in exponential form is:

40544 = 2⁵ × 7¹ × 181¹

Step-2: Prime Factorization of 40549

Prime factors of 40549 are 23, 41, 43. Prime factorization of 40549 in exponential form is:

40549 = 23¹ × 41¹ × 43¹

Step-3: Factors of 40544

List of positive integer factors of 40544 that divides 40544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 181, 224, 362, 724, 1267, 1448, 2534, 2896, 5068, 5792, 10136, 20272

Step-4: Factors of 40549

List of positive integer factors of 40549 that divides 40544 without a remainder.

1, 23, 41, 43, 943, 989, 1763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40544 and 40549. The biggest common factor number is the GCF number.
So the greatest common factor 40544 and 40549 is 1.

Also check out the Least Common Multiple of 40544 and 40549