What is the Greatest Common Factor of 3029 and 3043?

Greatest common factor (GCF) of 3029 and 3043 is 1.

GCF(3029,3043) = 1

We will now calculate the prime factors of 3029 and 3043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3029 and 3043.

How to find the GCF of 3029 and 3043?

We will first find the prime factorization of 3029 and 3043. After we will calculate the factors of 3029 and 3043 and find the biggest common factor number .

Step-1: Prime Factorization of 3029

Prime factors of 3029 are 13, 233. Prime factorization of 3029 in exponential form is:

3029 = 13¹ × 233¹

Step-2: Prime Factorization of 3043

Prime factors of 3043 are 17, 179. Prime factorization of 3043 in exponential form is:

3043 = 17¹ × 179¹

Step-3: Factors of 3029

List of positive integer factors of 3029 that divides 3029 without a remainder.

1, 13, 233

Step-4: Factors of 3043

List of positive integer factors of 3043 that divides 3029 without a remainder.

1, 17, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3029 and 3043. The biggest common factor number is the GCF number.
So the greatest common factor 3029 and 3043 is 1.

Also check out the Least Common Multiple of 3029 and 3043