What is the Greatest Common Factor of 38079 and 38089?

Greatest common factor (GCF) of 38079 and 38089 is 1.

GCF(38079,38089) = 1

We will now calculate the prime factors of 38079 and 38089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38079 and 38089.

How to find the GCF of 38079 and 38089?

We will first find the prime factorization of 38079 and 38089. After we will calculate the factors of 38079 and 38089 and find the biggest common factor number .

Step-1: Prime Factorization of 38079

Prime factors of 38079 are 3, 4231. Prime factorization of 38079 in exponential form is:

38079 = 3² × 4231¹

Step-2: Prime Factorization of 38089

Prime factors of 38089 are 41, 929. Prime factorization of 38089 in exponential form is:

38089 = 41¹ × 929¹

Step-3: Factors of 38079

List of positive integer factors of 38079 that divides 38079 without a remainder.

1, 3, 9, 4231, 12693

Step-4: Factors of 38089

List of positive integer factors of 38089 that divides 38079 without a remainder.

1, 41, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38079 and 38089. The biggest common factor number is the GCF number.
So the greatest common factor 38079 and 38089 is 1.

Also check out the Least Common Multiple of 38079 and 38089