What is the Greatest Common Factor of 31278 and 31288?

Greatest common factor (GCF) of 31278 and 31288 is 2.

GCF(31278,31288) = 2

We will now calculate the prime factors of 31278 and 31288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31278 and 31288.

How to find the GCF of 31278 and 31288?

We will first find the prime factorization of 31278 and 31288. After we will calculate the factors of 31278 and 31288 and find the biggest common factor number .

Step-1: Prime Factorization of 31278

Prime factors of 31278 are 2, 3, 13, 401. Prime factorization of 31278 in exponential form is:

31278 = 2¹ × 3¹ × 13¹ × 401¹

Step-2: Prime Factorization of 31288

Prime factors of 31288 are 2, 3911. Prime factorization of 31288 in exponential form is:

31288 = 2³ × 3911¹

Step-3: Factors of 31278

List of positive integer factors of 31278 that divides 31278 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 401, 802, 1203, 2406, 5213, 10426, 15639

Step-4: Factors of 31288

List of positive integer factors of 31288 that divides 31278 without a remainder.

1, 2, 4, 8, 3911, 7822, 15644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31278 and 31288. The biggest common factor number is the GCF number.
So the greatest common factor 31278 and 31288 is 2.

Also check out the Least Common Multiple of 31278 and 31288