What is the Greatest Common Factor of 31690 and 31700?

Greatest common factor (GCF) of 31690 and 31700 is 10.

GCF(31690,31700) = 10

We will now calculate the prime factors of 31690 and 31700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31690 and 31700.

How to find the GCF of 31690 and 31700?

We will first find the prime factorization of 31690 and 31700. After we will calculate the factors of 31690 and 31700 and find the biggest common factor number .

Step-1: Prime Factorization of 31690

Prime factors of 31690 are 2, 5, 3169. Prime factorization of 31690 in exponential form is:

31690 = 2¹ × 5¹ × 3169¹

Step-2: Prime Factorization of 31700

Prime factors of 31700 are 2, 5, 317. Prime factorization of 31700 in exponential form is:

31700 = 2² × 5² × 317¹

Step-3: Factors of 31690

List of positive integer factors of 31690 that divides 31690 without a remainder.

1, 2, 5, 10, 3169, 6338, 15845

Step-4: Factors of 31700

List of positive integer factors of 31700 that divides 31690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 317, 634, 1268, 1585, 3170, 6340, 7925, 15850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31690 and 31700. The biggest common factor number is the GCF number.
So the greatest common factor 31690 and 31700 is 10.

Also check out the Least Common Multiple of 31690 and 31700