What is the Greatest Common Factor of 47073 and 47091?

Greatest common factor (GCF) of 47073 and 47091 is 3.

GCF(47073,47091) = 3

We will now calculate the prime factors of 47073 and 47091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47073 and 47091.

How to find the GCF of 47073 and 47091?

We will first find the prime factorization of 47073 and 47091. After we will calculate the factors of 47073 and 47091 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47091

Prime factors of 47091 are 3, 11, 1427. Prime factorization of 47091 in exponential form is:

47091 = 3¹ × 11¹ × 1427¹

Step-3: Factors of 47073

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

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

Step-4: Factors of 47091

List of positive integer factors of 47091 that divides 47073 without a remainder.

1, 3, 11, 33, 1427, 4281, 15697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47073 and 47091. The biggest common factor number is the GCF number.
So the greatest common factor 47073 and 47091 is 3.

Also check out the Least Common Multiple of 47073 and 47091