What is the Greatest Common Factor of 31309 and 31313?

Greatest common factor (GCF) of 31309 and 31313 is 1.

GCF(31309,31313) = 1

We will now calculate the prime factors of 31309 and 31313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31309 and 31313.

How to find the GCF of 31309 and 31313?

We will first find the prime factorization of 31309 and 31313. After we will calculate the factors of 31309 and 31313 and find the biggest common factor number .

Step-1: Prime Factorization of 31309

Prime factors of 31309 are 131, 239. Prime factorization of 31309 in exponential form is:

31309 = 131¹ × 239¹

Step-2: Prime Factorization of 31313

Prime factors of 31313 are 173, 181. Prime factorization of 31313 in exponential form is:

31313 = 173¹ × 181¹

Step-3: Factors of 31309

List of positive integer factors of 31309 that divides 31309 without a remainder.

1, 131, 239

Step-4: Factors of 31313

List of positive integer factors of 31313 that divides 31309 without a remainder.

1, 173, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31309 and 31313. The biggest common factor number is the GCF number.
So the greatest common factor 31309 and 31313 is 1.

Also check out the Least Common Multiple of 31309 and 31313