What is the Greatest Common Factor of 30459 and 30465?

Greatest common factor (GCF) of 30459 and 30465 is 3.

GCF(30459,30465) = 3

We will now calculate the prime factors of 30459 and 30465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30459 and 30465.

How to find the GCF of 30459 and 30465?

We will first find the prime factorization of 30459 and 30465. After we will calculate the factors of 30459 and 30465 and find the biggest common factor number .

Step-1: Prime Factorization of 30459

Prime factors of 30459 are 3, 11, 13, 71. Prime factorization of 30459 in exponential form is:

30459 = 3¹ × 11¹ × 13¹ × 71¹

Step-2: Prime Factorization of 30465

Prime factors of 30465 are 3, 5, 677. Prime factorization of 30465 in exponential form is:

30465 = 3² × 5¹ × 677¹

Step-3: Factors of 30459

List of positive integer factors of 30459 that divides 30459 without a remainder.

1, 3, 11, 13, 33, 39, 71, 143, 213, 429, 781, 923, 2343, 2769, 10153

Step-4: Factors of 30465

List of positive integer factors of 30465 that divides 30459 without a remainder.

1, 3, 5, 9, 15, 45, 677, 2031, 3385, 6093, 10155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30459 and 30465. The biggest common factor number is the GCF number.
So the greatest common factor 30459 and 30465 is 3.

Also check out the Least Common Multiple of 30459 and 30465