What is the Greatest Common Factor of 34016 and 34036?

Greatest common factor (GCF) of 34016 and 34036 is 4.

GCF(34016,34036) = 4

We will now calculate the prime factors of 34016 and 34036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34016 and 34036.

How to find the GCF of 34016 and 34036?

We will first find the prime factorization of 34016 and 34036. After we will calculate the factors of 34016 and 34036 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 34036

Prime factors of 34036 are 2, 67, 127. Prime factorization of 34036 in exponential form is:

34036 = 2² × 67¹ × 127¹

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 34036

List of positive integer factors of 34036 that divides 34016 without a remainder.

1, 2, 4, 67, 127, 134, 254, 268, 508, 8509, 17018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34016 and 34036. The biggest common factor number is the GCF number.
So the greatest common factor 34016 and 34036 is 4.

Also check out the Least Common Multiple of 34016 and 34036