What is the Greatest Common Factor of 31710 and 31723?

Greatest common factor (GCF) of 31710 and 31723 is 1.

GCF(31710,31723) = 1

We will now calculate the prime factors of 31710 and 31723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31710 and 31723.

How to find the GCF of 31710 and 31723?

We will first find the prime factorization of 31710 and 31723. After we will calculate the factors of 31710 and 31723 and find the biggest common factor number .

Step-1: Prime Factorization of 31710

Prime factors of 31710 are 2, 3, 5, 7, 151. Prime factorization of 31710 in exponential form is:

31710 = 2¹ × 3¹ × 5¹ × 7¹ × 151¹

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 31710

List of positive integer factors of 31710 that divides 31710 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 151, 210, 302, 453, 755, 906, 1057, 1510, 2114, 2265, 3171, 4530, 5285, 6342, 10570, 15855

Step-4: Factors of 31723

List of positive integer factors of 31723 that divides 31710 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31710 and 31723. The biggest common factor number is the GCF number.
So the greatest common factor 31710 and 31723 is 1.

Also check out the Least Common Multiple of 31710 and 31723