What is the Greatest Common Factor of 31659 and 31667?

Greatest common factor (GCF) of 31659 and 31667 is 1.

GCF(31659,31667) = 1

We will now calculate the prime factors of 31659 and 31667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31659 and 31667.

How to find the GCF of 31659 and 31667?

We will first find the prime factorization of 31659 and 31667. After we will calculate the factors of 31659 and 31667 and find the biggest common factor number .

Step-1: Prime Factorization of 31659

Prime factors of 31659 are 3, 61, 173. Prime factorization of 31659 in exponential form is:

31659 = 3¹ × 61¹ × 173¹

Step-2: Prime Factorization of 31667

Prime factors of 31667 are 31667. Prime factorization of 31667 in exponential form is:

31667 = 31667¹

Step-3: Factors of 31659

List of positive integer factors of 31659 that divides 31659 without a remainder.

1, 3, 61, 173, 183, 519, 10553

Step-4: Factors of 31667

List of positive integer factors of 31667 that divides 31659 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31659 and 31667. The biggest common factor number is the GCF number.
So the greatest common factor 31659 and 31667 is 1.

Also check out the Least Common Multiple of 31659 and 31667