What is the Greatest Common Factor of 31706 and 31722?

Greatest common factor (GCF) of 31706 and 31722 is 2.

GCF(31706,31722) = 2

We will now calculate the prime factors of 31706 and 31722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31706 and 31722.

How to find the GCF of 31706 and 31722?

We will first find the prime factorization of 31706 and 31722. After we will calculate the factors of 31706 and 31722 and find the biggest common factor number .

Step-1: Prime Factorization of 31706

Prime factors of 31706 are 2, 83, 191. Prime factorization of 31706 in exponential form is:

31706 = 2¹ × 83¹ × 191¹

Step-2: Prime Factorization of 31722

Prime factors of 31722 are 2, 3, 17, 311. Prime factorization of 31722 in exponential form is:

31722 = 2¹ × 3¹ × 17¹ × 311¹

Step-3: Factors of 31706

List of positive integer factors of 31706 that divides 31706 without a remainder.

1, 2, 83, 166, 191, 382, 15853

Step-4: Factors of 31722

List of positive integer factors of 31722 that divides 31706 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 311, 622, 933, 1866, 5287, 10574, 15861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31706 and 31722. The biggest common factor number is the GCF number.
So the greatest common factor 31706 and 31722 is 2.

Also check out the Least Common Multiple of 31706 and 31722