What is the Greatest Common Factor of 31670 and 31688?

Greatest common factor (GCF) of 31670 and 31688 is 2.

GCF(31670,31688) = 2

We will now calculate the prime factors of 31670 and 31688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31670 and 31688.

How to find the GCF of 31670 and 31688?

We will first find the prime factorization of 31670 and 31688. After we will calculate the factors of 31670 and 31688 and find the biggest common factor number .

Step-1: Prime Factorization of 31670

Prime factors of 31670 are 2, 5, 3167. Prime factorization of 31670 in exponential form is:

31670 = 2¹ × 5¹ × 3167¹

Step-2: Prime Factorization of 31688

Prime factors of 31688 are 2, 17, 233. Prime factorization of 31688 in exponential form is:

31688 = 2³ × 17¹ × 233¹

Step-3: Factors of 31670

List of positive integer factors of 31670 that divides 31670 without a remainder.

1, 2, 5, 10, 3167, 6334, 15835

Step-4: Factors of 31688

List of positive integer factors of 31688 that divides 31670 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 233, 466, 932, 1864, 3961, 7922, 15844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31670 and 31688. The biggest common factor number is the GCF number.
So the greatest common factor 31670 and 31688 is 2.

Also check out the Least Common Multiple of 31670 and 31688