What is the Greatest Common Factor of 10079 and 10089?

Greatest common factor (GCF) of 10079 and 10089 is 1.

GCF(10079,10089) = 1

We will now calculate the prime factors of 10079 and 10089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10079 and 10089.

How to find the GCF of 10079 and 10089?

We will first find the prime factorization of 10079 and 10089. After we will calculate the factors of 10079 and 10089 and find the biggest common factor number .

Step-1: Prime Factorization of 10079

Prime factors of 10079 are 10079. Prime factorization of 10079 in exponential form is:

10079 = 10079¹

Step-2: Prime Factorization of 10089

Prime factors of 10089 are 3, 19, 59. Prime factorization of 10089 in exponential form is:

10089 = 3² × 19¹ × 59¹

Step-3: Factors of 10079

List of positive integer factors of 10079 that divides 10079 without a remainder.

Step-4: Factors of 10089

List of positive integer factors of 10089 that divides 10079 without a remainder.

1, 3, 9, 19, 57, 59, 171, 177, 531, 1121, 3363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10079 and 10089. The biggest common factor number is the GCF number.
So the greatest common factor 10079 and 10089 is 1.

Also check out the Least Common Multiple of 10079 and 10089