What is the Greatest Common Factor of 34086 and 34099?

Greatest common factor (GCF) of 34086 and 34099 is 13.

GCF(34086,34099) = 13

We will now calculate the prime factors of 34086 and 34099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34086 and 34099.

How to find the GCF of 34086 and 34099?

We will first find the prime factorization of 34086 and 34099. After we will calculate the factors of 34086 and 34099 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34099

Prime factors of 34099 are 13, 43, 61. Prime factorization of 34099 in exponential form is:

34099 = 13¹ × 43¹ × 61¹

Step-3: Factors of 34086

List of positive integer factors of 34086 that divides 34086 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

Step-4: Factors of 34099

List of positive integer factors of 34099 that divides 34086 without a remainder.

1, 13, 43, 61, 559, 793, 2623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34086 and 34099. The biggest common factor number is the GCF number.
So the greatest common factor 34086 and 34099 is 13.

Also check out the Least Common Multiple of 34086 and 34099