What is the Greatest Common Factor of 31707 and 31723?

Greatest common factor (GCF) of 31707 and 31723 is 1.

GCF(31707,31723) = 1

We will now calculate the prime factors of 31707 and 31723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31707 and 31723.

How to find the GCF of 31707 and 31723?

We will first find the prime factorization of 31707 and 31723. After we will calculate the factors of 31707 and 31723 and find the biggest common factor number .

Step-1: Prime Factorization of 31707

Prime factors of 31707 are 3, 13, 271. Prime factorization of 31707 in exponential form is:

31707 = 3² × 13¹ × 271¹

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 31707

List of positive integer factors of 31707 that divides 31707 without a remainder.

1, 3, 9, 13, 39, 117, 271, 813, 2439, 3523, 10569

Step-4: Factors of 31723

List of positive integer factors of 31723 that divides 31707 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31707 and 31723. The biggest common factor number is the GCF number.
So the greatest common factor 31707 and 31723 is 1.

Also check out the Least Common Multiple of 31707 and 31723