What is the Greatest Common Factor of 72549 and 72564?

Greatest common factor (GCF) of 72549 and 72564 is 3.

GCF(72549,72564) = 3

We will now calculate the prime factors of 72549 and 72564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72549 and 72564.

How to find the GCF of 72549 and 72564?

We will first find the prime factorization of 72549 and 72564. After we will calculate the factors of 72549 and 72564 and find the biggest common factor number .

Step-1: Prime Factorization of 72549

Prime factors of 72549 are 3, 2687. Prime factorization of 72549 in exponential form is:

72549 = 3³ × 2687¹

Step-2: Prime Factorization of 72564

Prime factors of 72564 are 2, 3, 6047. Prime factorization of 72564 in exponential form is:

72564 = 2² × 3¹ × 6047¹

Step-3: Factors of 72549

List of positive integer factors of 72549 that divides 72549 without a remainder.

1, 3, 9, 27, 2687, 8061, 24183

Step-4: Factors of 72564

List of positive integer factors of 72564 that divides 72549 without a remainder.

1, 2, 3, 4, 6, 12, 6047, 12094, 18141, 24188, 36282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72549 and 72564. The biggest common factor number is the GCF number.
So the greatest common factor 72549 and 72564 is 3.

Also check out the Least Common Multiple of 72549 and 72564