What is the Greatest Common Factor of 47047 and 47054?

Greatest common factor (GCF) of 47047 and 47054 is 7.

GCF(47047,47054) = 7

We will now calculate the prime factors of 47047 and 47054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47047 and 47054.

How to find the GCF of 47047 and 47054?

We will first find the prime factorization of 47047 and 47054. After we will calculate the factors of 47047 and 47054 and find the biggest common factor number .

Step-1: Prime Factorization of 47047

Prime factors of 47047 are 7, 11, 13, 47. Prime factorization of 47047 in exponential form is:

47047 = 7¹ × 11¹ × 13¹ × 47¹

Step-2: Prime Factorization of 47054

Prime factors of 47054 are 2, 7, 3361. Prime factorization of 47054 in exponential form is:

47054 = 2¹ × 7¹ × 3361¹

Step-3: Factors of 47047

List of positive integer factors of 47047 that divides 47047 without a remainder.

1, 7, 11, 13, 47, 77, 91, 143, 329, 517, 611, 1001, 3619, 4277, 6721

Step-4: Factors of 47054

List of positive integer factors of 47054 that divides 47047 without a remainder.

1, 2, 7, 14, 3361, 6722, 23527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47047 and 47054. The biggest common factor number is the GCF number.
So the greatest common factor 47047 and 47054 is 7.

Also check out the Least Common Multiple of 47047 and 47054