What is the Greatest Common Factor of 31681 and 31694?

Greatest common factor (GCF) of 31681 and 31694 is 13.

GCF(31681,31694) = 13

We will now calculate the prime factors of 31681 and 31694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31681 and 31694.

How to find the GCF of 31681 and 31694?

We will first find the prime factorization of 31681 and 31694. After we will calculate the factors of 31681 and 31694 and find the biggest common factor number .

Step-1: Prime Factorization of 31681

Prime factors of 31681 are 13, 2437. Prime factorization of 31681 in exponential form is:

31681 = 13¹ × 2437¹

Step-2: Prime Factorization of 31694

Prime factors of 31694 are 2, 13, 23, 53. Prime factorization of 31694 in exponential form is:

31694 = 2¹ × 13¹ × 23¹ × 53¹

Step-3: Factors of 31681

List of positive integer factors of 31681 that divides 31681 without a remainder.

1, 13, 2437

Step-4: Factors of 31694

List of positive integer factors of 31694 that divides 31681 without a remainder.

1, 2, 13, 23, 26, 46, 53, 106, 299, 598, 689, 1219, 1378, 2438, 15847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31681 and 31694. The biggest common factor number is the GCF number.
So the greatest common factor 31681 and 31694 is 13.

Also check out the Least Common Multiple of 31681 and 31694