What is the Greatest Common Factor of 31057 and 31071?

Greatest common factor (GCF) of 31057 and 31071 is 1.

GCF(31057,31071) = 1

We will now calculate the prime factors of 31057 and 31071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31057 and 31071.

How to find the GCF of 31057 and 31071?

We will first find the prime factorization of 31057 and 31071. After we will calculate the factors of 31057 and 31071 and find the biggest common factor number .

Step-1: Prime Factorization of 31057

Prime factors of 31057 are 13, 2389. Prime factorization of 31057 in exponential form is:

31057 = 13¹ × 2389¹

Step-2: Prime Factorization of 31071

Prime factors of 31071 are 3, 10357. Prime factorization of 31071 in exponential form is:

31071 = 3¹ × 10357¹

Step-3: Factors of 31057

List of positive integer factors of 31057 that divides 31057 without a remainder.

1, 13, 2389

Step-4: Factors of 31071

List of positive integer factors of 31071 that divides 31057 without a remainder.

1, 3, 10357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31057 and 31071. The biggest common factor number is the GCF number.
So the greatest common factor 31057 and 31071 is 1.

Also check out the Least Common Multiple of 31057 and 31071