What is the Greatest Common Factor of 47217 and 47226?

Greatest common factor (GCF) of 47217 and 47226 is 3.

GCF(47217,47226) = 3

We will now calculate the prime factors of 47217 and 47226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47217 and 47226.

How to find the GCF of 47217 and 47226?

We will first find the prime factorization of 47217 and 47226. After we will calculate the factors of 47217 and 47226 and find the biggest common factor number .

Step-1: Prime Factorization of 47217

Prime factors of 47217 are 3, 15739. Prime factorization of 47217 in exponential form is:

47217 = 3¹ × 15739¹

Step-2: 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-3: Factors of 47217

List of positive integer factors of 47217 that divides 47217 without a remainder.

1, 3, 15739

Step-4: Factors of 47226

List of positive integer factors of 47226 that divides 47217 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47217 and 47226. The biggest common factor number is the GCF number.
So the greatest common factor 47217 and 47226 is 3.

Also check out the Least Common Multiple of 47217 and 47226