What is the Greatest Common Factor of 50705 and 50717?

Greatest common factor (GCF) of 50705 and 50717 is 1.

GCF(50705,50717) = 1

We will now calculate the prime factors of 50705 and 50717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50705 and 50717.

How to find the GCF of 50705 and 50717?

We will first find the prime factorization of 50705 and 50717. After we will calculate the factors of 50705 and 50717 and find the biggest common factor number .

Step-1: Prime Factorization of 50705

Prime factors of 50705 are 5, 10141. Prime factorization of 50705 in exponential form is:

50705 = 5¹ × 10141¹

Step-2: Prime Factorization of 50717

Prime factors of 50717 are 41, 1237. Prime factorization of 50717 in exponential form is:

50717 = 41¹ × 1237¹

Step-3: Factors of 50705

List of positive integer factors of 50705 that divides 50705 without a remainder.

1, 5, 10141

Step-4: Factors of 50717

List of positive integer factors of 50717 that divides 50705 without a remainder.

1, 41, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50705 and 50717. The biggest common factor number is the GCF number.
So the greatest common factor 50705 and 50717 is 1.

Also check out the Least Common Multiple of 50705 and 50717