What is the Greatest Common Factor of 60540 and 60549?

Greatest common factor (GCF) of 60540 and 60549 is 3.

GCF(60540,60549) = 3

We will now calculate the prime factors of 60540 and 60549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60540 and 60549.

How to find the GCF of 60540 and 60549?

We will first find the prime factorization of 60540 and 60549. After we will calculate the factors of 60540 and 60549 and find the biggest common factor number .

Step-1: Prime Factorization of 60540

Prime factors of 60540 are 2, 3, 5, 1009. Prime factorization of 60540 in exponential form is:

60540 = 2² × 3¹ × 5¹ × 1009¹

Step-2: Prime Factorization of 60549

Prime factors of 60549 are 3, 20183. Prime factorization of 60549 in exponential form is:

60549 = 3¹ × 20183¹

Step-3: Factors of 60540

List of positive integer factors of 60540 that divides 60540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1009, 2018, 3027, 4036, 5045, 6054, 10090, 12108, 15135, 20180, 30270

Step-4: Factors of 60549

List of positive integer factors of 60549 that divides 60540 without a remainder.

1, 3, 20183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60540 and 60549. The biggest common factor number is the GCF number.
So the greatest common factor 60540 and 60549 is 3.

Also check out the Least Common Multiple of 60540 and 60549