What is the Greatest Common Factor of 40576 and 40590?

Greatest common factor (GCF) of 40576 and 40590 is 2.

GCF(40576,40590) = 2

We will now calculate the prime factors of 40576 and 40590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40576 and 40590.

How to find the GCF of 40576 and 40590?

We will first find the prime factorization of 40576 and 40590. After we will calculate the factors of 40576 and 40590 and find the biggest common factor number .

Step-1: Prime Factorization of 40576

Prime factors of 40576 are 2, 317. Prime factorization of 40576 in exponential form is:

40576 = 2⁷ × 317¹

Step-2: Prime Factorization of 40590

Prime factors of 40590 are 2, 3, 5, 11, 41. Prime factorization of 40590 in exponential form is:

40590 = 2¹ × 3² × 5¹ × 11¹ × 41¹

Step-3: Factors of 40576

List of positive integer factors of 40576 that divides 40576 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 317, 634, 1268, 2536, 5072, 10144, 20288

Step-4: Factors of 40590

List of positive integer factors of 40590 that divides 40576 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 41, 45, 55, 66, 82, 90, 99, 110, 123, 165, 198, 205, 246, 330, 369, 410, 451, 495, 615, 738, 902, 990, 1230, 1353, 1845, 2255, 2706, 3690, 4059, 4510, 6765, 8118, 13530, 20295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40576 and 40590. The biggest common factor number is the GCF number.
So the greatest common factor 40576 and 40590 is 2.

Also check out the Least Common Multiple of 40576 and 40590