What is the Greatest Common Factor of 40517 and 40536?

Greatest common factor (GCF) of 40517 and 40536 is 1.

GCF(40517,40536) = 1

We will now calculate the prime factors of 40517 and 40536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40517 and 40536.

How to find the GCF of 40517 and 40536?

We will first find the prime factorization of 40517 and 40536. After we will calculate the factors of 40517 and 40536 and find the biggest common factor number .

Step-1: Prime Factorization of 40517

Prime factors of 40517 are 31, 1307. Prime factorization of 40517 in exponential form is:

40517 = 31¹ × 1307¹

Step-2: Prime Factorization of 40536

Prime factors of 40536 are 2, 3, 563. Prime factorization of 40536 in exponential form is:

40536 = 2³ × 3² × 563¹

Step-3: Factors of 40517

List of positive integer factors of 40517 that divides 40517 without a remainder.

1, 31, 1307

Step-4: Factors of 40536

List of positive integer factors of 40536 that divides 40517 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 10134, 13512, 20268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40517 and 40536. The biggest common factor number is the GCF number.
So the greatest common factor 40517 and 40536 is 1.

Also check out the Least Common Multiple of 40517 and 40536