What is the Greatest Common Factor of 76016 and 76030?

Greatest common factor (GCF) of 76016 and 76030 is 2.

GCF(76016,76030) = 2

We will now calculate the prime factors of 76016 and 76030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76016 and 76030.

How to find the GCF of 76016 and 76030?

We will first find the prime factorization of 76016 and 76030. After we will calculate the factors of 76016 and 76030 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 76030

Prime factors of 76030 are 2, 5, 7603. Prime factorization of 76030 in exponential form is:

76030 = 2¹ × 5¹ × 7603¹

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 76030

List of positive integer factors of 76030 that divides 76016 without a remainder.

1, 2, 5, 10, 7603, 15206, 38015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76016 and 76030. The biggest common factor number is the GCF number.
So the greatest common factor 76016 and 76030 is 2.

Also check out the Least Common Multiple of 76016 and 76030