What is the Greatest Common Factor of 47206 and 47226?

Greatest common factor (GCF) of 47206 and 47226 is 2.

GCF(47206,47226) = 2

We will now calculate the prime factors of 47206 and 47226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47206 and 47226.

How to find the GCF of 47206 and 47226?

We will first find the prime factorization of 47206 and 47226. After we will calculate the factors of 47206 and 47226 and find the biggest common factor number .

Step-1: Prime Factorization of 47206

Prime factors of 47206 are 2, 23603. Prime factorization of 47206 in exponential form is:

47206 = 2¹ × 23603¹

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 47206

List of positive integer factors of 47206 that divides 47206 without a remainder.

1, 2, 23603

Step-4: Factors of 47226

List of positive integer factors of 47226 that divides 47206 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 47206 and 47226. The biggest common factor number is the GCF number.
So the greatest common factor 47206 and 47226 is 2.

Also check out the Least Common Multiple of 47206 and 47226