What is the Greatest Common Factor of 47089 and 47103?

Greatest common factor (GCF) of 47089 and 47103 is 7.

GCF(47089,47103) = 7

We will now calculate the prime factors of 47089 and 47103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47089 and 47103.

How to find the GCF of 47089 and 47103?

We will first find the prime factorization of 47089 and 47103. After we will calculate the factors of 47089 and 47103 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 47103

Prime factors of 47103 are 3, 7, 2243. Prime factorization of 47103 in exponential form is:

47103 = 3¹ × 7¹ × 2243¹

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 47103

List of positive integer factors of 47103 that divides 47089 without a remainder.

1, 3, 7, 21, 2243, 6729, 15701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47089 and 47103. The biggest common factor number is the GCF number.
So the greatest common factor 47089 and 47103 is 7.

Also check out the Least Common Multiple of 47089 and 47103