What is the Greatest Common Factor of 40538 and 40544?

Greatest common factor (GCF) of 40538 and 40544 is 2.

GCF(40538,40544) = 2

We will now calculate the prime factors of 40538 and 40544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40538 and 40544.

How to find the GCF of 40538 and 40544?

We will first find the prime factorization of 40538 and 40544. After we will calculate the factors of 40538 and 40544 and find the biggest common factor number .

Step-1: Prime Factorization of 40538

Prime factors of 40538 are 2, 20269. Prime factorization of 40538 in exponential form is:

40538 = 2¹ × 20269¹

Step-2: 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-3: Factors of 40538

List of positive integer factors of 40538 that divides 40538 without a remainder.

1, 2, 20269

Step-4: Factors of 40544

List of positive integer factors of 40544 that divides 40538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40538 and 40544. The biggest common factor number is the GCF number.
So the greatest common factor 40538 and 40544 is 2.

Also check out the Least Common Multiple of 40538 and 40544