What is the Greatest Common Factor of 40563 and 40579?

Greatest common factor (GCF) of 40563 and 40579 is 1.

GCF(40563,40579) = 1

We will now calculate the prime factors of 40563 and 40579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40563 and 40579.

How to find the GCF of 40563 and 40579?

We will first find the prime factorization of 40563 and 40579. After we will calculate the factors of 40563 and 40579 and find the biggest common factor number .

Step-1: Prime Factorization of 40563

Prime factors of 40563 are 3, 4507. Prime factorization of 40563 in exponential form is:

40563 = 3² × 4507¹

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 40563

List of positive integer factors of 40563 that divides 40563 without a remainder.

1, 3, 9, 4507, 13521

Step-4: Factors of 40579

List of positive integer factors of 40579 that divides 40563 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 40563 and 40579. The biggest common factor number is the GCF number.
So the greatest common factor 40563 and 40579 is 1.

Also check out the Least Common Multiple of 40563 and 40579