What is the Greatest Common Factor of 34047 and 34066?

Greatest common factor (GCF) of 34047 and 34066 is 1.

GCF(34047,34066) = 1

We will now calculate the prime factors of 34047 and 34066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34047 and 34066.

How to find the GCF of 34047 and 34066?

We will first find the prime factorization of 34047 and 34066. After we will calculate the factors of 34047 and 34066 and find the biggest common factor number .

Step-1: Prime Factorization of 34047

Prime factors of 34047 are 3, 13, 97. Prime factorization of 34047 in exponential form is:

34047 = 3³ × 13¹ × 97¹

Step-2: Prime Factorization of 34066

Prime factors of 34066 are 2, 17033. Prime factorization of 34066 in exponential form is:

34066 = 2¹ × 17033¹

Step-3: Factors of 34047

List of positive integer factors of 34047 that divides 34047 without a remainder.

1, 3, 9, 13, 27, 39, 97, 117, 291, 351, 873, 1261, 2619, 3783, 11349

Step-4: Factors of 34066

List of positive integer factors of 34066 that divides 34047 without a remainder.

1, 2, 17033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34047 and 34066. The biggest common factor number is the GCF number.
So the greatest common factor 34047 and 34066 is 1.

Also check out the Least Common Multiple of 34047 and 34066