What is the Greatest Common Factor of 31097 and 31115?

Greatest common factor (GCF) of 31097 and 31115 is 1.

GCF(31097,31115) = 1

We will now calculate the prime factors of 31097 and 31115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31097 and 31115.

How to find the GCF of 31097 and 31115?

We will first find the prime factorization of 31097 and 31115. After we will calculate the factors of 31097 and 31115 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 31115

Prime factors of 31115 are 5, 7, 127. Prime factorization of 31115 in exponential form is:

31115 = 5¹ × 7² × 127¹

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 31115

List of positive integer factors of 31115 that divides 31097 without a remainder.

1, 5, 7, 35, 49, 127, 245, 635, 889, 4445, 6223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31097 and 31115. The biggest common factor number is the GCF number.
So the greatest common factor 31097 and 31115 is 1.

Also check out the Least Common Multiple of 31097 and 31115