What is the Greatest Common Factor of 30450 and 30459?

Greatest common factor (GCF) of 30450 and 30459 is 3.

GCF(30450,30459) = 3

We will now calculate the prime factors of 30450 and 30459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30450 and 30459.

How to find the GCF of 30450 and 30459?

We will first find the prime factorization of 30450 and 30459. After we will calculate the factors of 30450 and 30459 and find the biggest common factor number .

Step-1: Prime Factorization of 30450

Prime factors of 30450 are 2, 3, 5, 7, 29. Prime factorization of 30450 in exponential form is:

30450 = 2¹ × 3¹ × 5² × 7¹ × 29¹

Step-2: 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-3: Factors of 30450

List of positive integer factors of 30450 that divides 30450 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 29, 30, 35, 42, 50, 58, 70, 75, 87, 105, 145, 150, 174, 175, 203, 210, 290, 350, 406, 435, 525, 609, 725, 870, 1015, 1050, 1218, 1450, 2030, 2175, 3045, 4350, 5075, 6090, 10150, 15225

Step-4: Factors of 30459

List of positive integer factors of 30459 that divides 30450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30450 and 30459. The biggest common factor number is the GCF number.
So the greatest common factor 30450 and 30459 is 3.

Also check out the Least Common Multiple of 30450 and 30459