What is the Greatest Common Factor of 34016 and 34034?

Greatest common factor (GCF) of 34016 and 34034 is 2.

GCF(34016,34034) = 2

We will now calculate the prime factors of 34016 and 34034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34016 and 34034.

How to find the GCF of 34016 and 34034?

We will first find the prime factorization of 34016 and 34034. After we will calculate the factors of 34016 and 34034 and find the biggest common factor number .

Step-1: Prime Factorization of 34016

Prime factors of 34016 are 2, 1063. Prime factorization of 34016 in exponential form is:

34016 = 2⁵ × 1063¹

Step-2: 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-3: Factors of 34016

List of positive integer factors of 34016 that divides 34016 without a remainder.

1, 2, 4, 8, 16, 32, 1063, 2126, 4252, 8504, 17008

Step-4: Factors of 34034

List of positive integer factors of 34034 that divides 34016 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34016 and 34034. The biggest common factor number is the GCF number.
So the greatest common factor 34016 and 34034 is 2.

Also check out the Least Common Multiple of 34016 and 34034