What is the Greatest Common Factor of 8008 and 8020?

Greatest common factor (GCF) of 8008 and 8020 is 4.

GCF(8008,8020) = 4

We will now calculate the prime factors of 8008 and 8020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8008 and 8020.

How to find the GCF of 8008 and 8020?

We will first find the prime factorization of 8008 and 8020. After we will calculate the factors of 8008 and 8020 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 8020

Prime factors of 8020 are 2, 5, 401. Prime factorization of 8020 in exponential form is:

8020 = 2² × 5¹ × 401¹

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 8020

List of positive integer factors of 8020 that divides 8008 without a remainder.

1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8008 and 8020. The biggest common factor number is the GCF number.
So the greatest common factor 8008 and 8020 is 4.

Also check out the Least Common Multiple of 8008 and 8020