What is the Greatest Common Factor of 31714 and 31723?

Greatest common factor (GCF) of 31714 and 31723 is 1.

GCF(31714,31723) = 1

We will now calculate the prime factors of 31714 and 31723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31714 and 31723.

How to find the GCF of 31714 and 31723?

We will first find the prime factorization of 31714 and 31723. After we will calculate the factors of 31714 and 31723 and find the biggest common factor number .

Step-1: Prime Factorization of 31714

Prime factors of 31714 are 2, 101, 157. Prime factorization of 31714 in exponential form is:

31714 = 2¹ × 101¹ × 157¹

Step-2: Prime Factorization of 31723

Prime factors of 31723 are 31723. Prime factorization of 31723 in exponential form is:

31723 = 31723¹

Step-3: Factors of 31714

List of positive integer factors of 31714 that divides 31714 without a remainder.

1, 2, 101, 157, 202, 314, 15857

Step-4: Factors of 31723

List of positive integer factors of 31723 that divides 31714 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31714 and 31723. The biggest common factor number is the GCF number.
So the greatest common factor 31714 and 31723 is 1.

Also check out the Least Common Multiple of 31714 and 31723