What is the Greatest Common Factor of 55705 and 55717?

Greatest common factor (GCF) of 55705 and 55717 is 1.

GCF(55705,55717) = 1

We will now calculate the prime factors of 55705 and 55717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55705 and 55717.

How to find the GCF of 55705 and 55717?

We will first find the prime factorization of 55705 and 55717. After we will calculate the factors of 55705 and 55717 and find the biggest common factor number .

Step-1: Prime Factorization of 55705

Prime factors of 55705 are 5, 13, 857. Prime factorization of 55705 in exponential form is:

55705 = 5¹ × 13¹ × 857¹

Step-2: Prime Factorization of 55717

Prime factors of 55717 are 55717. Prime factorization of 55717 in exponential form is:

55717 = 55717¹

Step-3: Factors of 55705

List of positive integer factors of 55705 that divides 55705 without a remainder.

1, 5, 13, 65, 857, 4285, 11141

Step-4: Factors of 55717

List of positive integer factors of 55717 that divides 55705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55705 and 55717. The biggest common factor number is the GCF number.
So the greatest common factor 55705 and 55717 is 1.

Also check out the Least Common Multiple of 55705 and 55717