What is the Greatest Common Factor of 30069 and 30079?

Greatest common factor (GCF) of 30069 and 30079 is 1.

GCF(30069,30079) = 1

We will now calculate the prime factors of 30069 and 30079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30069 and 30079.

How to find the GCF of 30069 and 30079?

We will first find the prime factorization of 30069 and 30079. After we will calculate the factors of 30069 and 30079 and find the biggest common factor number .

Step-1: Prime Factorization of 30069

Prime factors of 30069 are 3, 13, 257. Prime factorization of 30069 in exponential form is:

30069 = 3² × 13¹ × 257¹

Step-2: Prime Factorization of 30079

Prime factors of 30079 are 7, 4297. Prime factorization of 30079 in exponential form is:

30079 = 7¹ × 4297¹

Step-3: Factors of 30069

List of positive integer factors of 30069 that divides 30069 without a remainder.

1, 3, 9, 13, 39, 117, 257, 771, 2313, 3341, 10023

Step-4: Factors of 30079

List of positive integer factors of 30079 that divides 30069 without a remainder.

1, 7, 4297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30069 and 30079. The biggest common factor number is the GCF number.
So the greatest common factor 30069 and 30079 is 1.

Also check out the Least Common Multiple of 30069 and 30079