What is the Greatest Common Factor of 47212 and 47223?

Greatest common factor (GCF) of 47212 and 47223 is 11.

GCF(47212,47223) = 11

We will now calculate the prime factors of 47212 and 47223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47212 and 47223.

How to find the GCF of 47212 and 47223?

We will first find the prime factorization of 47212 and 47223. After we will calculate the factors of 47212 and 47223 and find the biggest common factor number .

Step-1: Prime Factorization of 47212

Prime factors of 47212 are 2, 11, 29, 37. Prime factorization of 47212 in exponential form is:

47212 = 2² × 11¹ × 29¹ × 37¹

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 47212

List of positive integer factors of 47212 that divides 47212 without a remainder.

1, 2, 4, 11, 22, 29, 37, 44, 58, 74, 116, 148, 319, 407, 638, 814, 1073, 1276, 1628, 2146, 4292, 11803, 23606

Step-4: Factors of 47223

List of positive integer factors of 47223 that divides 47212 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 47212 and 47223. The biggest common factor number is the GCF number.
So the greatest common factor 47212 and 47223 is 11.

Also check out the Least Common Multiple of 47212 and 47223