What is the Greatest Common Factor of 48540 and 48549?

Greatest common factor (GCF) of 48540 and 48549 is 3.

GCF(48540,48549) = 3

We will now calculate the prime factors of 48540 and 48549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48540 and 48549.

How to find the GCF of 48540 and 48549?

We will first find the prime factorization of 48540 and 48549. After we will calculate the factors of 48540 and 48549 and find the biggest common factor number .

Step-1: Prime Factorization of 48540

Prime factors of 48540 are 2, 3, 5, 809. Prime factorization of 48540 in exponential form is:

48540 = 2² × 3¹ × 5¹ × 809¹

Step-2: Prime Factorization of 48549

Prime factors of 48549 are 3, 16183. Prime factorization of 48549 in exponential form is:

48549 = 3¹ × 16183¹

Step-3: Factors of 48540

List of positive integer factors of 48540 that divides 48540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 809, 1618, 2427, 3236, 4045, 4854, 8090, 9708, 12135, 16180, 24270

Step-4: Factors of 48549

List of positive integer factors of 48549 that divides 48540 without a remainder.

1, 3, 16183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48540 and 48549. The biggest common factor number is the GCF number.
So the greatest common factor 48540 and 48549 is 3.

Also check out the Least Common Multiple of 48540 and 48549