What is the Greatest Common Factor of 45549 and 45564?

Greatest common factor (GCF) of 45549 and 45564 is 3.

GCF(45549,45564) = 3

We will now calculate the prime factors of 45549 and 45564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45549 and 45564.

How to find the GCF of 45549 and 45564?

We will first find the prime factorization of 45549 and 45564. After we will calculate the factors of 45549 and 45564 and find the biggest common factor number .

Step-1: Prime Factorization of 45549

Prime factors of 45549 are 3, 7, 241. Prime factorization of 45549 in exponential form is:

45549 = 3³ × 7¹ × 241¹

Step-2: Prime Factorization of 45564

Prime factors of 45564 are 2, 3, 3797. Prime factorization of 45564 in exponential form is:

45564 = 2² × 3¹ × 3797¹

Step-3: Factors of 45549

List of positive integer factors of 45549 that divides 45549 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 241, 723, 1687, 2169, 5061, 6507, 15183

Step-4: Factors of 45564

List of positive integer factors of 45564 that divides 45549 without a remainder.

1, 2, 3, 4, 6, 12, 3797, 7594, 11391, 15188, 22782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45549 and 45564. The biggest common factor number is the GCF number.
So the greatest common factor 45549 and 45564 is 3.

Also check out the Least Common Multiple of 45549 and 45564