What is the Greatest Common Factor of 8008 and 8028?

Greatest common factor (GCF) of 8008 and 8028 is 4.

GCF(8008,8028) = 4

We will now calculate the prime factors of 8008 and 8028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8008 and 8028.

How to find the GCF of 8008 and 8028?

We will first find the prime factorization of 8008 and 8028. After we will calculate the factors of 8008 and 8028 and find the biggest common factor number .

Step-1: Prime Factorization of 8008

Prime factors of 8008 are 2, 7, 11, 13. Prime factorization of 8008 in exponential form is:

8008 = 2³ × 7¹ × 11¹ × 13¹

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 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004

Step-4: Factors of 8028

List of positive integer factors of 8028 that divides 8008 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 8008 and 8028. The biggest common factor number is the GCF number.
So the greatest common factor 8008 and 8028 is 4.

Also check out the Least Common Multiple of 8008 and 8028