What is the Greatest Common Factor of 47079 and 47089?

Greatest common factor (GCF) of 47079 and 47089 is 1.

GCF(47079,47089) = 1

We will now calculate the prime factors of 47079 and 47089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47079 and 47089.

How to find the GCF of 47079 and 47089?

We will first find the prime factorization of 47079 and 47089. After we will calculate the factors of 47079 and 47089 and find the biggest common factor number .

Step-1: Prime Factorization of 47079

Prime factors of 47079 are 3, 5231. Prime factorization of 47079 in exponential form is:

47079 = 3² × 5231¹

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 47079

List of positive integer factors of 47079 that divides 47079 without a remainder.

1, 3, 9, 5231, 15693

Step-4: Factors of 47089

List of positive integer factors of 47089 that divides 47079 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 47079 and 47089. The biggest common factor number is the GCF number.
So the greatest common factor 47079 and 47089 is 1.

Also check out the Least Common Multiple of 47079 and 47089