What is the Greatest Common Factor of 47216 and 47222?

Greatest common factor (GCF) of 47216 and 47222 is 2.

GCF(47216,47222) = 2

We will now calculate the prime factors of 47216 and 47222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47216 and 47222.

How to find the GCF of 47216 and 47222?

We will first find the prime factorization of 47216 and 47222. After we will calculate the factors of 47216 and 47222 and find the biggest common factor number .

Step-1: Prime Factorization of 47216

Prime factors of 47216 are 2, 13, 227. Prime factorization of 47216 in exponential form is:

47216 = 2⁴ × 13¹ × 227¹

Step-2: Prime Factorization of 47222

Prime factors of 47222 are 2, 7, 3373. Prime factorization of 47222 in exponential form is:

47222 = 2¹ × 7¹ × 3373¹

Step-3: Factors of 47216

List of positive integer factors of 47216 that divides 47216 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 227, 454, 908, 1816, 2951, 3632, 5902, 11804, 23608

Step-4: Factors of 47222

List of positive integer factors of 47222 that divides 47216 without a remainder.

1, 2, 7, 14, 3373, 6746, 23611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47216 and 47222. The biggest common factor number is the GCF number.
So the greatest common factor 47216 and 47222 is 2.

Also check out the Least Common Multiple of 47216 and 47222