What is the Greatest Common Factor of 3029 and 3046?

Greatest common factor (GCF) of 3029 and 3046 is 1.

GCF(3029,3046) = 1

We will now calculate the prime factors of 3029 and 3046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3029 and 3046.

How to find the GCF of 3029 and 3046?

We will first find the prime factorization of 3029 and 3046. After we will calculate the factors of 3029 and 3046 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 3046

Prime factors of 3046 are 2, 1523. Prime factorization of 3046 in exponential form is:

3046 = 2¹ × 1523¹

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 3046

List of positive integer factors of 3046 that divides 3029 without a remainder.

1, 2, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3029 and 3046. The biggest common factor number is the GCF number.
So the greatest common factor 3029 and 3046 is 1.

Also check out the Least Common Multiple of 3029 and 3046