What is the Greatest Common Factor of 47075 and 47089?

Greatest common factor (GCF) of 47075 and 47089 is 7.

GCF(47075,47089) = 7

We will now calculate the prime factors of 47075 and 47089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47075 and 47089.

How to find the GCF of 47075 and 47089?

We will first find the prime factorization of 47075 and 47089. After we will calculate the factors of 47075 and 47089 and find the biggest common factor number .

Step-1: Prime Factorization of 47075

Prime factors of 47075 are 5, 7, 269. Prime factorization of 47075 in exponential form is:

47075 = 5² × 7¹ × 269¹

Step-2: Prime Factorization of 47089

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

47089 = 7² × 31²

Step-3: Factors of 47075

List of positive integer factors of 47075 that divides 47075 without a remainder.

1, 5, 7, 25, 35, 175, 269, 1345, 1883, 6725, 9415

Step-4: Factors of 47089

List of positive integer factors of 47089 that divides 47075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47075 and 47089. The biggest common factor number is the GCF number.
So the greatest common factor 47075 and 47089 is 7.

Also check out the Least Common Multiple of 47075 and 47089