What is the Greatest Common Factor of 31278 and 31296?

Greatest common factor (GCF) of 31278 and 31296 is 6.

GCF(31278,31296) = 6

We will now calculate the prime factors of 31278 and 31296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31278 and 31296.

How to find the GCF of 31278 and 31296?

We will first find the prime factorization of 31278 and 31296. After we will calculate the factors of 31278 and 31296 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 31296

Prime factors of 31296 are 2, 3, 163. Prime factorization of 31296 in exponential form is:

31296 = 2⁶ × 3¹ × 163¹

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 31296

List of positive integer factors of 31296 that divides 31278 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 163, 192, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 5216, 7824, 10432, 15648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31278 and 31296. The biggest common factor number is the GCF number.
So the greatest common factor 31278 and 31296 is 6.

Also check out the Least Common Multiple of 31278 and 31296