What is the Greatest Common Factor of 47089 and 47097?

Greatest common factor (GCF) of 47089 and 47097 is 1.

GCF(47089,47097) = 1

We will now calculate the prime factors of 47089 and 47097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47089 and 47097.

How to find the GCF of 47089 and 47097?

We will first find the prime factorization of 47089 and 47097. After we will calculate the factors of 47089 and 47097 and find the biggest common factor number .

Step-1: Prime Factorization of 47089

Prime factors of 47089 are 7, 31. Prime factorization of 47089 in exponential form is:

47089 = 7² × 31²

Step-2: Prime Factorization of 47097

Prime factors of 47097 are 3, 5233. Prime factorization of 47097 in exponential form is:

47097 = 3² × 5233¹

Step-3: Factors of 47089

List of positive integer factors of 47089 that divides 47089 without a remainder.

1, 7, 31, 49, 217, 961, 1519, 6727

Step-4: Factors of 47097

List of positive integer factors of 47097 that divides 47089 without a remainder.

1, 3, 9, 5233, 15699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47089 and 47097. The biggest common factor number is the GCF number.
So the greatest common factor 47089 and 47097 is 1.

Also check out the Least Common Multiple of 47089 and 47097