What is the Greatest Common Factor of 47089 and 47105?

Greatest common factor (GCF) of 47089 and 47105 is 1.

GCF(47089,47105) = 1

We will now calculate the prime factors of 47089 and 47105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47089 and 47105.

How to find the GCF of 47089 and 47105?

We will first find the prime factorization of 47089 and 47105. After we will calculate the factors of 47089 and 47105 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 47105

Prime factors of 47105 are 5, 9421. Prime factorization of 47105 in exponential form is:

47105 = 5¹ × 9421¹

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 47105

List of positive integer factors of 47105 that divides 47089 without a remainder.

1, 5, 9421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47089 and 47105. The biggest common factor number is the GCF number.
So the greatest common factor 47089 and 47105 is 1.

Also check out the Least Common Multiple of 47089 and 47105