GCF and LCM Calculator Logo

What is the Greatest Common Factor of 30009 and 30015?

Greatest common factor (GCF) of 30009 and 30015 is 3.

GCF(30009,30015) = 3

We will now calculate the prime factors of 30009 and 30015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30009 and 30015.

GCF Calculator and
and

How to find the GCF of 30009 and 30015?

We will first find the prime factorization of 30009 and 30015. After we will calculate the factors of 30009 and 30015 and find the biggest common factor number .

Step-1: Prime Factorization of 30009

Prime factors of 30009 are 3, 7, 1429. Prime factorization of 30009 in exponential form is:

30009 = 31 × 71 × 14291

Step-2: Prime Factorization of 30015

Prime factors of 30015 are 3, 5, 23, 29. Prime factorization of 30015 in exponential form is:

30015 = 32 × 51 × 231 × 291

Step-3: Factors of 30009

List of positive integer factors of 30009 that divides 30009 without a remainder.

1, 3, 7, 21, 1429, 4287, 10003

Step-4: Factors of 30015

List of positive integer factors of 30015 that divides 30009 without a remainder.

1, 3, 5, 9, 15, 23, 29, 45, 69, 87, 115, 145, 207, 261, 345, 435, 667, 1035, 1305, 2001, 3335, 6003, 10005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30009 and 30015. The biggest common factor number is the GCF number.
So the greatest common factor 30009 and 30015 is 3.

Also check out the Least Common Multiple of 30009 and 30015