What is the Greatest Common Factor of 47212 and 47221?

Greatest common factor (GCF) of 47212 and 47221 is 1.

GCF(47212,47221) = 1

We will now calculate the prime factors of 47212 and 47221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47212 and 47221.

How to find the GCF of 47212 and 47221?

We will first find the prime factorization of 47212 and 47221. After we will calculate the factors of 47212 and 47221 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 47221

Prime factors of 47221 are 47221. Prime factorization of 47221 in exponential form is:

47221 = 47221¹

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 47221

List of positive integer factors of 47221 that divides 47212 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47212 and 47221. The biggest common factor number is the GCF number.
So the greatest common factor 47212 and 47221 is 1.

Also check out the Least Common Multiple of 47212 and 47221