What is the Greatest Common Factor of 76016 and 76034?

Greatest common factor (GCF) of 76016 and 76034 is 2.

GCF(76016,76034) = 2

We will now calculate the prime factors of 76016 and 76034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76016 and 76034.

How to find the GCF of 76016 and 76034?

We will first find the prime factorization of 76016 and 76034. After we will calculate the factors of 76016 and 76034 and find the biggest common factor number .

Step-1: Prime Factorization of 76016

Prime factors of 76016 are 2, 4751. Prime factorization of 76016 in exponential form is:

76016 = 2⁴ × 4751¹

Step-2: Prime Factorization of 76034

Prime factors of 76034 are 2, 7, 5431. Prime factorization of 76034 in exponential form is:

76034 = 2¹ × 7¹ × 5431¹

Step-3: Factors of 76016

List of positive integer factors of 76016 that divides 76016 without a remainder.

1, 2, 4, 8, 16, 4751, 9502, 19004, 38008

Step-4: Factors of 76034

List of positive integer factors of 76034 that divides 76016 without a remainder.

1, 2, 7, 14, 5431, 10862, 38017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76016 and 76034. The biggest common factor number is the GCF number.
So the greatest common factor 76016 and 76034 is 2.

Also check out the Least Common Multiple of 76016 and 76034