What is the Greatest Common Factor of 82008 and 82028?

Greatest common factor (GCF) of 82008 and 82028 is 4.

GCF(82008,82028) = 4

We will now calculate the prime factors of 82008 and 82028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82008 and 82028.

How to find the GCF of 82008 and 82028?

We will first find the prime factorization of 82008 and 82028. After we will calculate the factors of 82008 and 82028 and find the biggest common factor number .

Step-1: Prime Factorization of 82008

Prime factors of 82008 are 2, 3, 17, 67. Prime factorization of 82008 in exponential form is:

82008 = 2³ × 3² × 17¹ × 67¹

Step-2: Prime Factorization of 82028

Prime factors of 82028 are 2, 20507. Prime factorization of 82028 in exponential form is:

82028 = 2² × 20507¹

Step-3: Factors of 82008

List of positive integer factors of 82008 that divides 82008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 67, 68, 72, 102, 134, 136, 153, 201, 204, 268, 306, 402, 408, 536, 603, 612, 804, 1139, 1206, 1224, 1608, 2278, 2412, 3417, 4556, 4824, 6834, 9112, 10251, 13668, 20502, 27336, 41004

Step-4: Factors of 82028

List of positive integer factors of 82028 that divides 82008 without a remainder.

1, 2, 4, 20507, 41014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82008 and 82028. The biggest common factor number is the GCF number.
So the greatest common factor 82008 and 82028 is 4.

Also check out the Least Common Multiple of 82008 and 82028