What is the Greatest Common Factor of 13029 and 13043?

Greatest common factor (GCF) of 13029 and 13043 is 1.

GCF(13029,13043) = 1

We will now calculate the prime factors of 13029 and 13043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13029 and 13043.

How to find the GCF of 13029 and 13043?

We will first find the prime factorization of 13029 and 13043. After we will calculate the factors of 13029 and 13043 and find the biggest common factor number .

Step-1: Prime Factorization of 13029

Prime factors of 13029 are 3, 43, 101. Prime factorization of 13029 in exponential form is:

13029 = 3¹ × 43¹ × 101¹

Step-2: Prime Factorization of 13043

Prime factors of 13043 are 13043. Prime factorization of 13043 in exponential form is:

13043 = 13043¹

Step-3: Factors of 13029

List of positive integer factors of 13029 that divides 13029 without a remainder.

1, 3, 43, 101, 129, 303, 4343

Step-4: Factors of 13043

List of positive integer factors of 13043 that divides 13029 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13029 and 13043. The biggest common factor number is the GCF number.
So the greatest common factor 13029 and 13043 is 1.

Also check out the Least Common Multiple of 13029 and 13043