What is the Greatest Common Factor of 47226 and 47243?

Greatest common factor (GCF) of 47226 and 47243 is 17.

GCF(47226,47243) = 17

We will now calculate the prime factors of 47226 and 47243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47226 and 47243.

How to find the GCF of 47226 and 47243?

We will first find the prime factorization of 47226 and 47243. After we will calculate the factors of 47226 and 47243 and find the biggest common factor number .

Step-1: Prime Factorization of 47226

Prime factors of 47226 are 2, 3, 17, 463. Prime factorization of 47226 in exponential form is:

47226 = 2¹ × 3¹ × 17¹ × 463¹

Step-2: Prime Factorization of 47243

Prime factors of 47243 are 7, 17, 397. Prime factorization of 47243 in exponential form is:

47243 = 7¹ × 17¹ × 397¹

Step-3: Factors of 47226

List of positive integer factors of 47226 that divides 47226 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 463, 926, 1389, 2778, 7871, 15742, 23613

Step-4: Factors of 47243

List of positive integer factors of 47243 that divides 47226 without a remainder.

1, 7, 17, 119, 397, 2779, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47226 and 47243. The biggest common factor number is the GCF number.
So the greatest common factor 47226 and 47243 is 17.

Also check out the Least Common Multiple of 47226 and 47243