What is the Greatest Common Factor of 34076 and 34086?

Greatest common factor (GCF) of 34076 and 34086 is 2.

GCF(34076,34086) = 2

We will now calculate the prime factors of 34076 and 34086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34076 and 34086.

How to find the GCF of 34076 and 34086?

We will first find the prime factorization of 34076 and 34086. After we will calculate the factors of 34076 and 34086 and find the biggest common factor number .

Step-1: Prime Factorization of 34076

Prime factors of 34076 are 2, 7, 1217. Prime factorization of 34076 in exponential form is:

34076 = 2² × 7¹ × 1217¹

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 34076

List of positive integer factors of 34076 that divides 34076 without a remainder.

1, 2, 4, 7, 14, 28, 1217, 2434, 4868, 8519, 17038

Step-4: Factors of 34086

List of positive integer factors of 34086 that divides 34076 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 34076 and 34086. The biggest common factor number is the GCF number.
So the greatest common factor 34076 and 34086 is 2.

Also check out the Least Common Multiple of 34076 and 34086