What is the Greatest Common Factor of 47058 and 47073?

Greatest common factor (GCF) of 47058 and 47073 is 3.

GCF(47058,47073) = 3

We will now calculate the prime factors of 47058 and 47073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47058 and 47073.

How to find the GCF of 47058 and 47073?

We will first find the prime factorization of 47058 and 47073. After we will calculate the factors of 47058 and 47073 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 47073

Prime factors of 47073 are 3, 13, 17, 71. Prime factorization of 47073 in exponential form is:

47073 = 3¹ × 13¹ × 17¹ × 71¹

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 47073

List of positive integer factors of 47073 that divides 47058 without a remainder.

1, 3, 13, 17, 39, 51, 71, 213, 221, 663, 923, 1207, 2769, 3621, 15691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47058 and 47073. The biggest common factor number is the GCF number.
So the greatest common factor 47058 and 47073 is 3.

Also check out the Least Common Multiple of 47058 and 47073