What is the Greatest Common Factor of 31096 and 31100?

Greatest common factor (GCF) of 31096 and 31100 is 4.

GCF(31096,31100) = 4

We will now calculate the prime factors of 31096 and 31100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31096 and 31100.

How to find the GCF of 31096 and 31100?

We will first find the prime factorization of 31096 and 31100. After we will calculate the factors of 31096 and 31100 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 31100

Prime factors of 31100 are 2, 5, 311. Prime factorization of 31100 in exponential form is:

31100 = 2² × 5² × 311¹

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 31100

List of positive integer factors of 31100 that divides 31096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 311, 622, 1244, 1555, 3110, 6220, 7775, 15550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31096 and 31100. The biggest common factor number is the GCF number.
So the greatest common factor 31096 and 31100 is 4.

Also check out the Least Common Multiple of 31096 and 31100