What is the Greatest Common Factor of 47673 and 47691?

Greatest common factor (GCF) of 47673 and 47691 is 9.

GCF(47673,47691) = 9

We will now calculate the prime factors of 47673 and 47691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47673 and 47691.

How to find the GCF of 47673 and 47691?

We will first find the prime factorization of 47673 and 47691. After we will calculate the factors of 47673 and 47691 and find the biggest common factor number .

Step-1: Prime Factorization of 47673

Prime factors of 47673 are 3, 5297. Prime factorization of 47673 in exponential form is:

47673 = 3² × 5297¹

Step-2: Prime Factorization of 47691

Prime factors of 47691 are 3, 7, 757. Prime factorization of 47691 in exponential form is:

47691 = 3² × 7¹ × 757¹

Step-3: Factors of 47673

List of positive integer factors of 47673 that divides 47673 without a remainder.

1, 3, 9, 5297, 15891

Step-4: Factors of 47691

List of positive integer factors of 47691 that divides 47673 without a remainder.

1, 3, 7, 9, 21, 63, 757, 2271, 5299, 6813, 15897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47673 and 47691. The biggest common factor number is the GCF number.
So the greatest common factor 47673 and 47691 is 9.

Also check out the Least Common Multiple of 47673 and 47691