What is the Greatest Common Factor of 47203 and 47223?

Greatest common factor (GCF) of 47203 and 47223 is 1.

GCF(47203,47223) = 1

We will now calculate the prime factors of 47203 and 47223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47203 and 47223.

How to find the GCF of 47203 and 47223?

We will first find the prime factorization of 47203 and 47223. After we will calculate the factors of 47203 and 47223 and find the biggest common factor number .

Step-1: Prime Factorization of 47203

Prime factors of 47203 are 13, 3631. Prime factorization of 47203 in exponential form is:

47203 = 13¹ × 3631¹

Step-2: 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-3: Factors of 47203

List of positive integer factors of 47203 that divides 47203 without a remainder.

1, 13, 3631

Step-4: Factors of 47223

List of positive integer factors of 47223 that divides 47203 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47203 and 47223. The biggest common factor number is the GCF number.
So the greatest common factor 47203 and 47223 is 1.

Also check out the Least Common Multiple of 47203 and 47223