What is the Greatest Common Factor of 40544 and 40562?

Greatest common factor (GCF) of 40544 and 40562 is 2.

GCF(40544,40562) = 2

We will now calculate the prime factors of 40544 and 40562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40544 and 40562.

How to find the GCF of 40544 and 40562?

We will first find the prime factorization of 40544 and 40562. After we will calculate the factors of 40544 and 40562 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 40562

Prime factors of 40562 are 2, 17, 1193. Prime factorization of 40562 in exponential form is:

40562 = 2¹ × 17¹ × 1193¹

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 40562

List of positive integer factors of 40562 that divides 40544 without a remainder.

1, 2, 17, 34, 1193, 2386, 20281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40544 and 40562. The biggest common factor number is the GCF number.
So the greatest common factor 40544 and 40562 is 2.

Also check out the Least Common Multiple of 40544 and 40562