What is the Greatest Common Factor of 8016 and 8028?

Greatest common factor (GCF) of 8016 and 8028 is 12.

GCF(8016,8028) = 12

We will now calculate the prime factors of 8016 and 8028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8016 and 8028.

How to find the GCF of 8016 and 8028?

We will first find the prime factorization of 8016 and 8028. After we will calculate the factors of 8016 and 8028 and find the biggest common factor number .

Step-1: Prime Factorization of 8016

Prime factors of 8016 are 2, 3, 167. Prime factorization of 8016 in exponential form is:

8016 = 2⁴ × 3¹ × 167¹

Step-2: Prime Factorization of 8028

Prime factors of 8028 are 2, 3, 223. Prime factorization of 8028 in exponential form is:

8028 = 2² × 3² × 223¹

Step-3: Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008

Step-4: Factors of 8028

List of positive integer factors of 8028 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8016 and 8028. The biggest common factor number is the GCF number.
So the greatest common factor 8016 and 8028 is 12.

Also check out the Least Common Multiple of 8016 and 8028