What is the Greatest Common Factor of 55705 and 55718?

Greatest common factor (GCF) of 55705 and 55718 is 13.

GCF(55705,55718) = 13

We will now calculate the prime factors of 55705 and 55718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55705 and 55718.

How to find the GCF of 55705 and 55718?

We will first find the prime factorization of 55705 and 55718. After we will calculate the factors of 55705 and 55718 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 55718

Prime factors of 55718 are 2, 13, 2143. Prime factorization of 55718 in exponential form is:

55718 = 2¹ × 13¹ × 2143¹

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 55718

List of positive integer factors of 55718 that divides 55705 without a remainder.

1, 2, 13, 26, 2143, 4286, 27859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55705 and 55718. The biggest common factor number is the GCF number.
So the greatest common factor 55705 and 55718 is 13.

Also check out the Least Common Multiple of 55705 and 55718