What is the Greatest Common Factor of 47198 and 47217?

Greatest common factor (GCF) of 47198 and 47217 is 1.

GCF(47198,47217) = 1

We will now calculate the prime factors of 47198 and 47217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47198 and 47217.

How to find the GCF of 47198 and 47217?

We will first find the prime factorization of 47198 and 47217. After we will calculate the factors of 47198 and 47217 and find the biggest common factor number .

Step-1: Prime Factorization of 47198

Prime factors of 47198 are 2, 23599. Prime factorization of 47198 in exponential form is:

47198 = 2¹ × 23599¹

Step-2: Prime Factorization of 47217

Prime factors of 47217 are 3, 15739. Prime factorization of 47217 in exponential form is:

47217 = 3¹ × 15739¹

Step-3: Factors of 47198

List of positive integer factors of 47198 that divides 47198 without a remainder.

1, 2, 23599

Step-4: Factors of 47217

List of positive integer factors of 47217 that divides 47198 without a remainder.

1, 3, 15739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47198 and 47217. The biggest common factor number is the GCF number.
So the greatest common factor 47198 and 47217 is 1.

Also check out the Least Common Multiple of 47198 and 47217