What is the Greatest Common Factor of 31330 and 31343?

Greatest common factor (GCF) of 31330 and 31343 is 13.

GCF(31330,31343) = 13

We will now calculate the prime factors of 31330 and 31343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31330 and 31343.

How to find the GCF of 31330 and 31343?

We will first find the prime factorization of 31330 and 31343. After we will calculate the factors of 31330 and 31343 and find the biggest common factor number .

Step-1: Prime Factorization of 31330

Prime factors of 31330 are 2, 5, 13, 241. Prime factorization of 31330 in exponential form is:

31330 = 2¹ × 5¹ × 13¹ × 241¹

Step-2: Prime Factorization of 31343

Prime factors of 31343 are 13, 2411. Prime factorization of 31343 in exponential form is:

31343 = 13¹ × 2411¹

Step-3: Factors of 31330

List of positive integer factors of 31330 that divides 31330 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 241, 482, 1205, 2410, 3133, 6266, 15665

Step-4: Factors of 31343

List of positive integer factors of 31343 that divides 31330 without a remainder.

1, 13, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31330 and 31343. The biggest common factor number is the GCF number.
So the greatest common factor 31330 and 31343 is 13.

Also check out the Least Common Multiple of 31330 and 31343