What is the Greatest Common Factor of 13049 and 13061?

Greatest common factor (GCF) of 13049 and 13061 is 1.

GCF(13049,13061) = 1

We will now calculate the prime factors of 13049 and 13061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13049 and 13061.

How to find the GCF of 13049 and 13061?

We will first find the prime factorization of 13049 and 13061. After we will calculate the factors of 13049 and 13061 and find the biggest common factor number .

Step-1: Prime Factorization of 13049

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

13049 = 13049¹

Step-2: Prime Factorization of 13061

Prime factors of 13061 are 37, 353. Prime factorization of 13061 in exponential form is:

13061 = 37¹ × 353¹

Step-3: Factors of 13049

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

Step-4: Factors of 13061

List of positive integer factors of 13061 that divides 13049 without a remainder.

1, 37, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13049 and 13061. The biggest common factor number is the GCF number.
So the greatest common factor 13049 and 13061 is 1.

Also check out the Least Common Multiple of 13049 and 13061