What is the Greatest Common Factor of 57707 and 57713?

Greatest common factor (GCF) of 57707 and 57713 is 1.

GCF(57707,57713) = 1

We will now calculate the prime factors of 57707 and 57713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57707 and 57713.

How to find the GCF of 57707 and 57713?

We will first find the prime factorization of 57707 and 57713. After we will calculate the factors of 57707 and 57713 and find the biggest common factor number .

Step-1: Prime Factorization of 57707

Prime factors of 57707 are 13, 23, 193. Prime factorization of 57707 in exponential form is:

57707 = 13¹ × 23¹ × 193¹

Step-2: Prime Factorization of 57713

Prime factors of 57713 are 57713. Prime factorization of 57713 in exponential form is:

57713 = 57713¹

Step-3: Factors of 57707

List of positive integer factors of 57707 that divides 57707 without a remainder.

1, 13, 23, 193, 299, 2509, 4439

Step-4: Factors of 57713

List of positive integer factors of 57713 that divides 57707 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57707 and 57713. The biggest common factor number is the GCF number.
So the greatest common factor 57707 and 57713 is 1.

Also check out the Least Common Multiple of 57707 and 57713