What is the Greatest Common Factor of 57691 and 57707?

Greatest common factor (GCF) of 57691 and 57707 is 1.

GCF(57691,57707) = 1

We will now calculate the prime factors of 57691 and 57707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57691 and 57707.

How to find the GCF of 57691 and 57707?

We will first find the prime factorization of 57691 and 57707. After we will calculate the factors of 57691 and 57707 and find the biggest common factor number .

Step-1: Prime Factorization of 57691

Prime factors of 57691 are 31, 1861. Prime factorization of 57691 in exponential form is:

57691 = 31¹ × 1861¹

Step-2: 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-3: Factors of 57691

List of positive integer factors of 57691 that divides 57691 without a remainder.

1, 31, 1861

Step-4: Factors of 57707

List of positive integer factors of 57707 that divides 57691 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57691 and 57707. The biggest common factor number is the GCF number.
So the greatest common factor 57691 and 57707 is 1.

Also check out the Least Common Multiple of 57691 and 57707