What is the Greatest Common Factor of 40705 and 40717?

Greatest common factor (GCF) of 40705 and 40717 is 1.

GCF(40705,40717) = 1

We will now calculate the prime factors of 40705 and 40717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40705 and 40717.

How to find the GCF of 40705 and 40717?

We will first find the prime factorization of 40705 and 40717. After we will calculate the factors of 40705 and 40717 and find the biggest common factor number .

Step-1: Prime Factorization of 40705

Prime factors of 40705 are 5, 7, 1163. Prime factorization of 40705 in exponential form is:

40705 = 5¹ × 7¹ × 1163¹

Step-2: Prime Factorization of 40717

Prime factors of 40717 are 19, 2143. Prime factorization of 40717 in exponential form is:

40717 = 19¹ × 2143¹

Step-3: Factors of 40705

List of positive integer factors of 40705 that divides 40705 without a remainder.

1, 5, 7, 35, 1163, 5815, 8141

Step-4: Factors of 40717

List of positive integer factors of 40717 that divides 40705 without a remainder.

1, 19, 2143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40705 and 40717. The biggest common factor number is the GCF number.
So the greatest common factor 40705 and 40717 is 1.

Also check out the Least Common Multiple of 40705 and 40717