What is the Greatest Common Factor of 47197 and 47216?

Greatest common factor (GCF) of 47197 and 47216 is 1.

GCF(47197,47216) = 1

We will now calculate the prime factors of 47197 and 47216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47197 and 47216.

How to find the GCF of 47197 and 47216?

We will first find the prime factorization of 47197 and 47216. After we will calculate the factors of 47197 and 47216 and find the biggest common factor number .

Step-1: Prime Factorization of 47197

Prime factors of 47197 are 109, 433. Prime factorization of 47197 in exponential form is:

47197 = 109¹ × 433¹

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 47197

List of positive integer factors of 47197 that divides 47197 without a remainder.

1, 109, 433

Step-4: Factors of 47216

List of positive integer factors of 47216 that divides 47197 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 47197 and 47216. The biggest common factor number is the GCF number.
So the greatest common factor 47197 and 47216 is 1.

Also check out the Least Common Multiple of 47197 and 47216