What is the Greatest Common Factor of 40567 and 40579?

Greatest common factor (GCF) of 40567 and 40579 is 1.

GCF(40567,40579) = 1

We will now calculate the prime factors of 40567 and 40579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40567 and 40579.

How to find the GCF of 40567 and 40579?

We will first find the prime factorization of 40567 and 40579. After we will calculate the factors of 40567 and 40579 and find the biggest common factor number .

Step-1: Prime Factorization of 40567

Prime factors of 40567 are 113, 359. Prime factorization of 40567 in exponential form is:

40567 = 113¹ × 359¹

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 40567

List of positive integer factors of 40567 that divides 40567 without a remainder.

1, 113, 359

Step-4: Factors of 40579

List of positive integer factors of 40579 that divides 40567 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 40567 and 40579. The biggest common factor number is the GCF number.
So the greatest common factor 40567 and 40579 is 1.

Also check out the Least Common Multiple of 40567 and 40579