What is the Greatest Common Factor of 31031 and 31049?

Greatest common factor (GCF) of 31031 and 31049 is 1.

GCF(31031,31049) = 1

We will now calculate the prime factors of 31031 and 31049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31031 and 31049.

How to find the GCF of 31031 and 31049?

We will first find the prime factorization of 31031 and 31049. After we will calculate the factors of 31031 and 31049 and find the biggest common factor number .

Step-1: Prime Factorization of 31031

Prime factors of 31031 are 7, 11, 13, 31. Prime factorization of 31031 in exponential form is:

31031 = 7¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 31049

Prime factors of 31049 are 61, 509. Prime factorization of 31049 in exponential form is:

31049 = 61¹ × 509¹

Step-3: Factors of 31031

List of positive integer factors of 31031 that divides 31031 without a remainder.

1, 7, 11, 13, 31, 77, 91, 143, 217, 341, 403, 1001, 2387, 2821, 4433

Step-4: Factors of 31049

List of positive integer factors of 31049 that divides 31031 without a remainder.

1, 61, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31031 and 31049. The biggest common factor number is the GCF number.
So the greatest common factor 31031 and 31049 is 1.

Also check out the Least Common Multiple of 31031 and 31049