What is the Greatest Common Factor of 47223 and 47229?

Greatest common factor (GCF) of 47223 and 47229 is 3.

GCF(47223,47229) = 3

We will now calculate the prime factors of 47223 and 47229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47223 and 47229.

How to find the GCF of 47223 and 47229?

We will first find the prime factorization of 47223 and 47229. After we will calculate the factors of 47223 and 47229 and find the biggest common factor number .

Step-1: Prime Factorization of 47223

Prime factors of 47223 are 3, 11, 53. Prime factorization of 47223 in exponential form is:

47223 = 3⁴ × 11¹ × 53¹

Step-2: Prime Factorization of 47229

Prime factors of 47229 are 3, 7, 13, 173. Prime factorization of 47229 in exponential form is:

47229 = 3¹ × 7¹ × 13¹ × 173¹

Step-3: Factors of 47223

List of positive integer factors of 47223 that divides 47223 without a remainder.

1, 3, 9, 11, 27, 33, 53, 81, 99, 159, 297, 477, 583, 891, 1431, 1749, 4293, 5247, 15741

Step-4: Factors of 47229

List of positive integer factors of 47229 that divides 47223 without a remainder.

1, 3, 7, 13, 21, 39, 91, 173, 273, 519, 1211, 2249, 3633, 6747, 15743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47223 and 47229. The biggest common factor number is the GCF number.
So the greatest common factor 47223 and 47229 is 3.

Also check out the Least Common Multiple of 47223 and 47229