What is the Greatest Common Factor of 47203 and 47216?

Greatest common factor (GCF) of 47203 and 47216 is 13.

GCF(47203,47216) = 13

We will now calculate the prime factors of 47203 and 47216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47203 and 47216.

How to find the GCF of 47203 and 47216?

We will first find the prime factorization of 47203 and 47216. After we will calculate the factors of 47203 and 47216 and find the biggest common factor number .

Step-1: Prime Factorization of 47203

Prime factors of 47203 are 13, 3631. Prime factorization of 47203 in exponential form is:

47203 = 13¹ × 3631¹

Step-2: 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-3: Factors of 47203

List of positive integer factors of 47203 that divides 47203 without a remainder.

1, 13, 3631

Step-4: Factors of 47216

List of positive integer factors of 47216 that divides 47203 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47203 and 47216. The biggest common factor number is the GCF number.
So the greatest common factor 47203 and 47216 is 13.

Also check out the Least Common Multiple of 47203 and 47216