What is the Greatest Common Factor of 47216 and 47230?

Greatest common factor (GCF) of 47216 and 47230 is 2.

GCF(47216,47230) = 2

We will now calculate the prime factors of 47216 and 47230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47216 and 47230.

How to find the GCF of 47216 and 47230?

We will first find the prime factorization of 47216 and 47230. After we will calculate the factors of 47216 and 47230 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 47230

Prime factors of 47230 are 2, 5, 4723. Prime factorization of 47230 in exponential form is:

47230 = 2¹ × 5¹ × 4723¹

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 47230

List of positive integer factors of 47230 that divides 47216 without a remainder.

1, 2, 5, 10, 4723, 9446, 23615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47216 and 47230. The biggest common factor number is the GCF number.
So the greatest common factor 47216 and 47230 is 2.

Also check out the Least Common Multiple of 47216 and 47230