What is the Greatest Common Factor of 13031 and 13049?

Greatest common factor (GCF) of 13031 and 13049 is 1.

GCF(13031,13049) = 1

We will now calculate the prime factors of 13031 and 13049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13031 and 13049.

How to find the GCF of 13031 and 13049?

We will first find the prime factorization of 13031 and 13049. After we will calculate the factors of 13031 and 13049 and find the biggest common factor number .

Step-1: Prime Factorization of 13031

Prime factors of 13031 are 83, 157. Prime factorization of 13031 in exponential form is:

13031 = 83¹ × 157¹

Step-2: Prime Factorization of 13049

Prime factors of 13049 are 13049. Prime factorization of 13049 in exponential form is:

13049 = 13049¹

Step-3: Factors of 13031

List of positive integer factors of 13031 that divides 13031 without a remainder.

1, 83, 157

Step-4: Factors of 13049

List of positive integer factors of 13049 that divides 13031 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13031 and 13049. The biggest common factor number is the GCF number.
So the greatest common factor 13031 and 13049 is 1.

Also check out the Least Common Multiple of 13031 and 13049