What is the Greatest Common Factor of 40579 and 40590?

Greatest common factor (GCF) of 40579 and 40590 is 11.

GCF(40579,40590) = 11

We will now calculate the prime factors of 40579 and 40590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40579 and 40590.

How to find the GCF of 40579 and 40590?

We will first find the prime factorization of 40579 and 40590. After we will calculate the factors of 40579 and 40590 and find the biggest common factor number .

Step-1: Prime Factorization of 40579

Prime factors of 40579 are 7, 11, 17, 31. Prime factorization of 40579 in exponential form is:

40579 = 7¹ × 11¹ × 17¹ × 31¹

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 40579

List of positive integer factors of 40579 that divides 40579 without a remainder.

1, 7, 11, 17, 31, 77, 119, 187, 217, 341, 527, 1309, 2387, 3689, 5797

Step-4: Factors of 40590

List of positive integer factors of 40590 that divides 40579 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 40579 and 40590. The biggest common factor number is the GCF number.
So the greatest common factor 40579 and 40590 is 11.

Also check out the Least Common Multiple of 40579 and 40590