What is the Greatest Common Factor of 40562 and 40579?

Greatest common factor (GCF) of 40562 and 40579 is 17.

GCF(40562,40579) = 17

We will now calculate the prime factors of 40562 and 40579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40562 and 40579.

How to find the GCF of 40562 and 40579?

We will first find the prime factorization of 40562 and 40579. After we will calculate the factors of 40562 and 40579 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 40562

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

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

Step-4: Factors of 40579

List of positive integer factors of 40579 that divides 40562 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40562 and 40579. The biggest common factor number is the GCF number.
So the greatest common factor 40562 and 40579 is 17.

Also check out the Least Common Multiple of 40562 and 40579