What is the Greatest Common Factor of 31097 and 31117?

Greatest common factor (GCF) of 31097 and 31117 is 1.

GCF(31097,31117) = 1

We will now calculate the prime factors of 31097 and 31117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31097 and 31117.

How to find the GCF of 31097 and 31117?

We will first find the prime factorization of 31097 and 31117. After we will calculate the factors of 31097 and 31117 and find the biggest common factor number .

Step-1: Prime Factorization of 31097

Prime factors of 31097 are 11, 257. Prime factorization of 31097 in exponential form is:

31097 = 11² × 257¹

Step-2: Prime Factorization of 31117

Prime factors of 31117 are 29, 37. Prime factorization of 31117 in exponential form is:

31117 = 29² × 37¹

Step-3: Factors of 31097

List of positive integer factors of 31097 that divides 31097 without a remainder.

1, 11, 121, 257, 2827

Step-4: Factors of 31117

List of positive integer factors of 31117 that divides 31097 without a remainder.

1, 29, 37, 841, 1073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31097 and 31117. The biggest common factor number is the GCF number.
So the greatest common factor 31097 and 31117 is 1.

Also check out the Least Common Multiple of 31097 and 31117