What is the Greatest Common Factor of 31666 and 31677?

Greatest common factor (GCF) of 31666 and 31677 is 1.

GCF(31666,31677) = 1

We will now calculate the prime factors of 31666 and 31677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31666 and 31677.

How to find the GCF of 31666 and 31677?

We will first find the prime factorization of 31666 and 31677. After we will calculate the factors of 31666 and 31677 and find the biggest common factor number .

Step-1: Prime Factorization of 31666

Prime factors of 31666 are 2, 71, 223. Prime factorization of 31666 in exponential form is:

31666 = 2¹ × 71¹ × 223¹

Step-2: Prime Factorization of 31677

Prime factors of 31677 are 3, 10559. Prime factorization of 31677 in exponential form is:

31677 = 3¹ × 10559¹

Step-3: Factors of 31666

List of positive integer factors of 31666 that divides 31666 without a remainder.

1, 2, 71, 142, 223, 446, 15833

Step-4: Factors of 31677

List of positive integer factors of 31677 that divides 31666 without a remainder.

1, 3, 10559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31666 and 31677. The biggest common factor number is the GCF number.
So the greatest common factor 31666 and 31677 is 1.

Also check out the Least Common Multiple of 31666 and 31677