What is the Greatest Common Factor of 47724 and 47733?

Greatest common factor (GCF) of 47724 and 47733 is 3.

GCF(47724,47733) = 3

We will now calculate the prime factors of 47724 and 47733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47724 and 47733.

How to find the GCF of 47724 and 47733?

We will first find the prime factorization of 47724 and 47733. After we will calculate the factors of 47724 and 47733 and find the biggest common factor number .

Step-1: Prime Factorization of 47724

Prime factors of 47724 are 2, 3, 41, 97. Prime factorization of 47724 in exponential form is:

47724 = 2² × 3¹ × 41¹ × 97¹

Step-2: Prime Factorization of 47733

Prime factors of 47733 are 3, 7, 2273. Prime factorization of 47733 in exponential form is:

47733 = 3¹ × 7¹ × 2273¹

Step-3: Factors of 47724

List of positive integer factors of 47724 that divides 47724 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 97, 123, 164, 194, 246, 291, 388, 492, 582, 1164, 3977, 7954, 11931, 15908, 23862

Step-4: Factors of 47733

List of positive integer factors of 47733 that divides 47724 without a remainder.

1, 3, 7, 21, 2273, 6819, 15911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47724 and 47733. The biggest common factor number is the GCF number.
So the greatest common factor 47724 and 47733 is 3.

Also check out the Least Common Multiple of 47724 and 47733