What is the Greatest Common Factor of 31683 and 31697?

Greatest common factor (GCF) of 31683 and 31697 is 1.

GCF(31683,31697) = 1

We will now calculate the prime factors of 31683 and 31697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31683 and 31697.

How to find the GCF of 31683 and 31697?

We will first find the prime factorization of 31683 and 31697. After we will calculate the factors of 31683 and 31697 and find the biggest common factor number .

Step-1: Prime Factorization of 31683

Prime factors of 31683 are 3, 59, 179. Prime factorization of 31683 in exponential form is:

31683 = 3¹ × 59¹ × 179¹

Step-2: Prime Factorization of 31697

Prime factors of 31697 are 29, 1093. Prime factorization of 31697 in exponential form is:

31697 = 29¹ × 1093¹

Step-3: Factors of 31683

List of positive integer factors of 31683 that divides 31683 without a remainder.

1, 3, 59, 177, 179, 537, 10561

Step-4: Factors of 31697

List of positive integer factors of 31697 that divides 31683 without a remainder.

1, 29, 1093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31683 and 31697. The biggest common factor number is the GCF number.
So the greatest common factor 31683 and 31697 is 1.

Also check out the Least Common Multiple of 31683 and 31697