What is the Greatest Common Factor of 30009 and 30014?

Greatest common factor (GCF) of 30009 and 30014 is 1.

GCF(30009,30014) = 1

We will now calculate the prime factors of 30009 and 30014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30009 and 30014.

How to find the GCF of 30009 and 30014?

We will first find the prime factorization of 30009 and 30014. After we will calculate the factors of 30009 and 30014 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 30014

Prime factors of 30014 are 2, 43, 349. Prime factorization of 30014 in exponential form is:

30014 = 2¹ × 43¹ × 349¹

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 30014

List of positive integer factors of 30014 that divides 30009 without a remainder.

1, 2, 43, 86, 349, 698, 15007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30009 and 30014. The biggest common factor number is the GCF number.
So the greatest common factor 30009 and 30014 is 1.

Also check out the Least Common Multiple of 30009 and 30014