What is the Greatest Common Factor of 47216 and 47233?

Greatest common factor (GCF) of 47216 and 47233 is 1.

GCF(47216,47233) = 1

We will now calculate the prime factors of 47216 and 47233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47216 and 47233.

How to find the GCF of 47216 and 47233?

We will first find the prime factorization of 47216 and 47233. After we will calculate the factors of 47216 and 47233 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 47233

Prime factors of 47233 are 149, 317. Prime factorization of 47233 in exponential form is:

47233 = 149¹ × 317¹

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 47233

List of positive integer factors of 47233 that divides 47216 without a remainder.

1, 149, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47216 and 47233. The biggest common factor number is the GCF number.
So the greatest common factor 47216 and 47233 is 1.

Also check out the Least Common Multiple of 47216 and 47233