What is the Greatest Common Factor of 48008 and 48014?

Greatest common factor (GCF) of 48008 and 48014 is 2.

GCF(48008,48014) = 2

We will now calculate the prime factors of 48008 and 48014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48008 and 48014.

How to find the GCF of 48008 and 48014?

We will first find the prime factorization of 48008 and 48014. After we will calculate the factors of 48008 and 48014 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48014

Prime factors of 48014 are 2, 24007. Prime factorization of 48014 in exponential form is:

48014 = 2¹ × 24007¹

Step-3: Factors of 48008

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

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

Step-4: Factors of 48014

List of positive integer factors of 48014 that divides 48008 without a remainder.

1, 2, 24007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48008 and 48014. The biggest common factor number is the GCF number.
So the greatest common factor 48008 and 48014 is 2.

Also check out the Least Common Multiple of 48008 and 48014