What is the Greatest Common Factor of 31689 and 31703?

Greatest common factor (GCF) of 31689 and 31703 is 7.

GCF(31689,31703) = 7

We will now calculate the prime factors of 31689 and 31703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31689 and 31703.

How to find the GCF of 31689 and 31703?

We will first find the prime factorization of 31689 and 31703. After we will calculate the factors of 31689 and 31703 and find the biggest common factor number .

Step-1: Prime Factorization of 31689

Prime factors of 31689 are 3, 7, 503. Prime factorization of 31689 in exponential form is:

31689 = 3² × 7¹ × 503¹

Step-2: Prime Factorization of 31703

Prime factors of 31703 are 7, 647. Prime factorization of 31703 in exponential form is:

31703 = 7² × 647¹

Step-3: Factors of 31689

List of positive integer factors of 31689 that divides 31689 without a remainder.

1, 3, 7, 9, 21, 63, 503, 1509, 3521, 4527, 10563

Step-4: Factors of 31703

List of positive integer factors of 31703 that divides 31689 without a remainder.

1, 7, 49, 647, 4529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31689 and 31703. The biggest common factor number is the GCF number.
So the greatest common factor 31689 and 31703 is 7.

Also check out the Least Common Multiple of 31689 and 31703