What is the Greatest Common Factor of 40508 and 40517?

Greatest common factor (GCF) of 40508 and 40517 is 1.

GCF(40508,40517) = 1

We will now calculate the prime factors of 40508 and 40517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40508 and 40517.

How to find the GCF of 40508 and 40517?

We will first find the prime factorization of 40508 and 40517. After we will calculate the factors of 40508 and 40517 and find the biggest common factor number .

Step-1: Prime Factorization of 40508

Prime factors of 40508 are 2, 13, 19, 41. Prime factorization of 40508 in exponential form is:

40508 = 2² × 13¹ × 19¹ × 41¹

Step-2: Prime Factorization of 40517

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

40517 = 31¹ × 1307¹

Step-3: Factors of 40508

List of positive integer factors of 40508 that divides 40508 without a remainder.

1, 2, 4, 13, 19, 26, 38, 41, 52, 76, 82, 164, 247, 494, 533, 779, 988, 1066, 1558, 2132, 3116, 10127, 20254

Step-4: Factors of 40517

List of positive integer factors of 40517 that divides 40508 without a remainder.

1, 31, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40508 and 40517. The biggest common factor number is the GCF number.
So the greatest common factor 40508 and 40517 is 1.

Also check out the Least Common Multiple of 40508 and 40517