What is the Greatest Common Factor of 34074 and 34086?

Greatest common factor (GCF) of 34074 and 34086 is 6.

GCF(34074,34086) = 6

We will now calculate the prime factors of 34074 and 34086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34074 and 34086.

How to find the GCF of 34074 and 34086?

We will first find the prime factorization of 34074 and 34086. After we will calculate the factors of 34074 and 34086 and find the biggest common factor number .

Step-1: Prime Factorization of 34074

Prime factors of 34074 are 2, 3, 631. Prime factorization of 34074 in exponential form is:

34074 = 2¹ × 3³ × 631¹

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 34074

List of positive integer factors of 34074 that divides 34074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 631, 1262, 1893, 3786, 5679, 11358, 17037

Step-4: Factors of 34086

List of positive integer factors of 34086 that divides 34074 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 34074 and 34086. The biggest common factor number is the GCF number.
So the greatest common factor 34074 and 34086 is 6.

Also check out the Least Common Multiple of 34074 and 34086