What is the Greatest Common Factor of 34034 and 34054?

Greatest common factor (GCF) of 34034 and 34054 is 2.

GCF(34034,34054) = 2

We will now calculate the prime factors of 34034 and 34054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34034 and 34054.

How to find the GCF of 34034 and 34054?

We will first find the prime factorization of 34034 and 34054. After we will calculate the factors of 34034 and 34054 and find the biggest common factor number .

Step-1: Prime Factorization of 34034

Prime factors of 34034 are 2, 7, 11, 13, 17. Prime factorization of 34034 in exponential form is:

34034 = 2¹ × 7¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 34054

Prime factors of 34054 are 2, 17027. Prime factorization of 34054 in exponential form is:

34054 = 2¹ × 17027¹

Step-3: Factors of 34034

List of positive integer factors of 34034 that divides 34034 without a remainder.

1, 2, 7, 11, 13, 14, 17, 22, 26, 34, 77, 91, 119, 143, 154, 182, 187, 221, 238, 286, 374, 442, 1001, 1309, 1547, 2002, 2431, 2618, 3094, 4862, 17017

Step-4: Factors of 34054

List of positive integer factors of 34054 that divides 34034 without a remainder.

1, 2, 17027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34034 and 34054. The biggest common factor number is the GCF number.
So the greatest common factor 34034 and 34054 is 2.

Also check out the Least Common Multiple of 34034 and 34054