What is the Greatest Common Factor of 31694 and 31709?

Greatest common factor (GCF) of 31694 and 31709 is 1.

GCF(31694,31709) = 1

We will now calculate the prime factors of 31694 and 31709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31694 and 31709.

How to find the GCF of 31694 and 31709?

We will first find the prime factorization of 31694 and 31709. After we will calculate the factors of 31694 and 31709 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31709

Prime factors of 31709 are 37, 857. Prime factorization of 31709 in exponential form is:

31709 = 37¹ × 857¹

Step-3: Factors of 31694

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

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

Step-4: Factors of 31709

List of positive integer factors of 31709 that divides 31694 without a remainder.

1, 37, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31694 and 31709. The biggest common factor number is the GCF number.
So the greatest common factor 31694 and 31709 is 1.

Also check out the Least Common Multiple of 31694 and 31709