What is the Greatest Common Factor of 47089 and 47106?

Greatest common factor (GCF) of 47089 and 47106 is 1.

GCF(47089,47106) = 1

We will now calculate the prime factors of 47089 and 47106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47089 and 47106.

How to find the GCF of 47089 and 47106?

We will first find the prime factorization of 47089 and 47106. After we will calculate the factors of 47089 and 47106 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 47106

Prime factors of 47106 are 2, 3, 2617. Prime factorization of 47106 in exponential form is:

47106 = 2¹ × 3² × 2617¹

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 47106

List of positive integer factors of 47106 that divides 47089 without a remainder.

1, 2, 3, 6, 9, 18, 2617, 5234, 7851, 15702, 23553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47089 and 47106. The biggest common factor number is the GCF number.
So the greatest common factor 47089 and 47106 is 1.

Also check out the Least Common Multiple of 47089 and 47106