What is the Greatest Common Factor of 47058 and 47071?

Greatest common factor (GCF) of 47058 and 47071 is 1.

GCF(47058,47071) = 1

We will now calculate the prime factors of 47058 and 47071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47058 and 47071.

How to find the GCF of 47058 and 47071?

We will first find the prime factorization of 47058 and 47071. After we will calculate the factors of 47058 and 47071 and find the biggest common factor number .

Step-1: Prime Factorization of 47058

Prime factors of 47058 are 2, 3, 11, 23, 31. Prime factorization of 47058 in exponential form is:

47058 = 2¹ × 3¹ × 11¹ × 23¹ × 31¹

Step-2: Prime Factorization of 47071

Prime factors of 47071 are 103, 457. Prime factorization of 47071 in exponential form is:

47071 = 103¹ × 457¹

Step-3: Factors of 47058

List of positive integer factors of 47058 that divides 47058 without a remainder.

1, 2, 3, 6, 11, 22, 23, 31, 33, 46, 62, 66, 69, 93, 138, 186, 253, 341, 506, 682, 713, 759, 1023, 1426, 1518, 2046, 2139, 4278, 7843, 15686, 23529

Step-4: Factors of 47071

List of positive integer factors of 47071 that divides 47058 without a remainder.

1, 103, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47058 and 47071. The biggest common factor number is the GCF number.
So the greatest common factor 47058 and 47071 is 1.

Also check out the Least Common Multiple of 47058 and 47071