What is the Greatest Common Factor of 47089 and 47096?

Greatest common factor (GCF) of 47089 and 47096 is 7.

GCF(47089,47096) = 7

We will now calculate the prime factors of 47089 and 47096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47089 and 47096.

How to find the GCF of 47089 and 47096?

We will first find the prime factorization of 47089 and 47096. After we will calculate the factors of 47089 and 47096 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 47096

Prime factors of 47096 are 2, 7, 29. Prime factorization of 47096 in exponential form is:

47096 = 2³ × 7¹ × 29²

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 47096

List of positive integer factors of 47096 that divides 47089 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 841, 1624, 1682, 3364, 5887, 6728, 11774, 23548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47089 and 47096. The biggest common factor number is the GCF number.
So the greatest common factor 47089 and 47096 is 7.

Also check out the Least Common Multiple of 47089 and 47096