What is the Greatest Common Factor of 31265 and 31278?

Greatest common factor (GCF) of 31265 and 31278 is 13.

GCF(31265,31278) = 13

We will now calculate the prime factors of 31265 and 31278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31265 and 31278.

How to find the GCF of 31265 and 31278?

We will first find the prime factorization of 31265 and 31278. After we will calculate the factors of 31265 and 31278 and find the biggest common factor number .

Step-1: Prime Factorization of 31265

Prime factors of 31265 are 5, 13, 37. Prime factorization of 31265 in exponential form is:

31265 = 5¹ × 13² × 37¹

Step-2: 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-3: Factors of 31265

List of positive integer factors of 31265 that divides 31265 without a remainder.

1, 5, 13, 37, 65, 169, 185, 481, 845, 2405, 6253

Step-4: Factors of 31278

List of positive integer factors of 31278 that divides 31265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31265 and 31278. The biggest common factor number is the GCF number.
So the greatest common factor 31265 and 31278 is 13.

Also check out the Least Common Multiple of 31265 and 31278