What is the Greatest Common Factor of 47008 and 47014?

Greatest common factor (GCF) of 47008 and 47014 is 2.

GCF(47008,47014) = 2

We will now calculate the prime factors of 47008 and 47014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47008 and 47014.

How to find the GCF of 47008 and 47014?

We will first find the prime factorization of 47008 and 47014. After we will calculate the factors of 47008 and 47014 and find the biggest common factor number .

Step-1: Prime Factorization of 47008

Prime factors of 47008 are 2, 13, 113. Prime factorization of 47008 in exponential form is:

47008 = 2⁵ × 13¹ × 113¹

Step-2: Prime Factorization of 47014

Prime factors of 47014 are 2, 11, 2137. Prime factorization of 47014 in exponential form is:

47014 = 2¹ × 11¹ × 2137¹

Step-3: Factors of 47008

List of positive integer factors of 47008 that divides 47008 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 113, 208, 226, 416, 452, 904, 1469, 1808, 2938, 3616, 5876, 11752, 23504

Step-4: Factors of 47014

List of positive integer factors of 47014 that divides 47008 without a remainder.

1, 2, 11, 22, 2137, 4274, 23507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47008 and 47014. The biggest common factor number is the GCF number.
So the greatest common factor 47008 and 47014 is 2.

Also check out the Least Common Multiple of 47008 and 47014