What is the Greatest Common Factor of 31096 and 31109?

Greatest common factor (GCF) of 31096 and 31109 is 13.

GCF(31096,31109) = 13

We will now calculate the prime factors of 31096 and 31109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31096 and 31109.

How to find the GCF of 31096 and 31109?

We will first find the prime factorization of 31096 and 31109. After we will calculate the factors of 31096 and 31109 and find the biggest common factor number .

Step-1: Prime Factorization of 31096

Prime factors of 31096 are 2, 13, 23. Prime factorization of 31096 in exponential form is:

31096 = 2³ × 13² × 23¹

Step-2: Prime Factorization of 31109

Prime factors of 31109 are 13, 2393. Prime factorization of 31109 in exponential form is:

31109 = 13¹ × 2393¹

Step-3: Factors of 31096

List of positive integer factors of 31096 that divides 31096 without a remainder.

1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 169, 184, 299, 338, 598, 676, 1196, 1352, 2392, 3887, 7774, 15548

Step-4: Factors of 31109

List of positive integer factors of 31109 that divides 31096 without a remainder.

1, 13, 2393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31096 and 31109. The biggest common factor number is the GCF number.
So the greatest common factor 31096 and 31109 is 13.

Also check out the Least Common Multiple of 31096 and 31109