What is the Greatest Common Factor of 31688 and 31701?

Greatest common factor (GCF) of 31688 and 31701 is 1.

GCF(31688,31701) = 1

We will now calculate the prime factors of 31688 and 31701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31688 and 31701.

How to find the GCF of 31688 and 31701?

We will first find the prime factorization of 31688 and 31701. After we will calculate the factors of 31688 and 31701 and find the biggest common factor number .

Step-1: Prime Factorization of 31688

Prime factors of 31688 are 2, 17, 233. Prime factorization of 31688 in exponential form is:

31688 = 2³ × 17¹ × 233¹

Step-2: Prime Factorization of 31701

Prime factors of 31701 are 3, 10567. Prime factorization of 31701 in exponential form is:

31701 = 3¹ × 10567¹

Step-3: Factors of 31688

List of positive integer factors of 31688 that divides 31688 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 233, 466, 932, 1864, 3961, 7922, 15844

Step-4: Factors of 31701

List of positive integer factors of 31701 that divides 31688 without a remainder.

1, 3, 10567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31688 and 31701. The biggest common factor number is the GCF number.
So the greatest common factor 31688 and 31701 is 1.

Also check out the Least Common Multiple of 31688 and 31701