What is the Greatest Common Factor of 30540 and 30549?

Greatest common factor (GCF) of 30540 and 30549 is 3.

GCF(30540,30549) = 3

We will now calculate the prime factors of 30540 and 30549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30540 and 30549.

How to find the GCF of 30540 and 30549?

We will first find the prime factorization of 30540 and 30549. After we will calculate the factors of 30540 and 30549 and find the biggest common factor number .

Step-1: Prime Factorization of 30540

Prime factors of 30540 are 2, 3, 5, 509. Prime factorization of 30540 in exponential form is:

30540 = 2² × 3¹ × 5¹ × 509¹

Step-2: Prime Factorization of 30549

Prime factors of 30549 are 3, 17, 599. Prime factorization of 30549 in exponential form is:

30549 = 3¹ × 17¹ × 599¹

Step-3: Factors of 30540

List of positive integer factors of 30540 that divides 30540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 509, 1018, 1527, 2036, 2545, 3054, 5090, 6108, 7635, 10180, 15270

Step-4: Factors of 30549

List of positive integer factors of 30549 that divides 30540 without a remainder.

1, 3, 17, 51, 599, 1797, 10183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30540 and 30549. The biggest common factor number is the GCF number.
So the greatest common factor 30540 and 30549 is 3.

Also check out the Least Common Multiple of 30540 and 30549