What is the Greatest Common Factor of 47014 and 47027?

Greatest common factor (GCF) of 47014 and 47027 is 1.

GCF(47014,47027) = 1

We will now calculate the prime factors of 47014 and 47027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47014 and 47027.

How to find the GCF of 47014 and 47027?

We will first find the prime factorization of 47014 and 47027. After we will calculate the factors of 47014 and 47027 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47027

Prime factors of 47027 are 31, 37, 41. Prime factorization of 47027 in exponential form is:

47027 = 31¹ × 37¹ × 41¹

Step-3: Factors of 47014

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

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

Step-4: Factors of 47027

List of positive integer factors of 47027 that divides 47014 without a remainder.

1, 31, 37, 41, 1147, 1271, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47014 and 47027. The biggest common factor number is the GCF number.
So the greatest common factor 47014 and 47027 is 1.

Also check out the Least Common Multiple of 47014 and 47027