What is the Greatest Common Factor of 47988 and 48008?

Greatest common factor (GCF) of 47988 and 48008 is 4.

GCF(47988,48008) = 4

We will now calculate the prime factors of 47988 and 48008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47988 and 48008.

How to find the GCF of 47988 and 48008?

We will first find the prime factorization of 47988 and 48008. After we will calculate the factors of 47988 and 48008 and find the biggest common factor number .

Step-1: Prime Factorization of 47988

Prime factors of 47988 are 2, 3, 31, 43. Prime factorization of 47988 in exponential form is:

47988 = 2² × 3² × 31¹ × 43¹

Step-2: Prime Factorization of 48008

Prime factors of 48008 are 2, 17, 353. Prime factorization of 48008 in exponential form is:

48008 = 2³ × 17¹ × 353¹

Step-3: Factors of 47988

List of positive integer factors of 47988 that divides 47988 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 43, 62, 86, 93, 124, 129, 172, 186, 258, 279, 372, 387, 516, 558, 774, 1116, 1333, 1548, 2666, 3999, 5332, 7998, 11997, 15996, 23994

Step-4: Factors of 48008

List of positive integer factors of 48008 that divides 47988 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 353, 706, 1412, 2824, 6001, 12002, 24004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47988 and 48008. The biggest common factor number is the GCF number.
So the greatest common factor 47988 and 48008 is 4.

Also check out the Least Common Multiple of 47988 and 48008