What is the Greatest Common Factor of 34071 and 34086?

Greatest common factor (GCF) of 34071 and 34086 is 3.

GCF(34071,34086) = 3

We will now calculate the prime factors of 34071 and 34086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34071 and 34086.

How to find the GCF of 34071 and 34086?

We will first find the prime factorization of 34071 and 34086. After we will calculate the factors of 34071 and 34086 and find the biggest common factor number .

Step-1: Prime Factorization of 34071

Prime factors of 34071 are 3, 41, 277. Prime factorization of 34071 in exponential form is:

34071 = 3¹ × 41¹ × 277¹

Step-2: Prime Factorization of 34086

Prime factors of 34086 are 2, 3, 13, 19, 23. Prime factorization of 34086 in exponential form is:

34086 = 2¹ × 3¹ × 13¹ × 19¹ × 23¹

Step-3: Factors of 34071

List of positive integer factors of 34071 that divides 34071 without a remainder.

1, 3, 41, 123, 277, 831, 11357

Step-4: Factors of 34086

List of positive integer factors of 34086 that divides 34071 without a remainder.

1, 2, 3, 6, 13, 19, 23, 26, 38, 39, 46, 57, 69, 78, 114, 138, 247, 299, 437, 494, 598, 741, 874, 897, 1311, 1482, 1794, 2622, 5681, 11362, 17043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34071 and 34086. The biggest common factor number is the GCF number.
So the greatest common factor 34071 and 34086 is 3.

Also check out the Least Common Multiple of 34071 and 34086