What is the Greatest Common Factor of 45549 and 45555?

Greatest common factor (GCF) of 45549 and 45555 is 3.

GCF(45549,45555) = 3

We will now calculate the prime factors of 45549 and 45555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45549 and 45555.

How to find the GCF of 45549 and 45555?

We will first find the prime factorization of 45549 and 45555. After we will calculate the factors of 45549 and 45555 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 45555

Prime factors of 45555 are 3, 5, 3037. Prime factorization of 45555 in exponential form is:

45555 = 3¹ × 5¹ × 3037¹

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 45555

List of positive integer factors of 45555 that divides 45549 without a remainder.

1, 3, 5, 15, 3037, 9111, 15185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45549 and 45555. The biggest common factor number is the GCF number.
So the greatest common factor 45549 and 45555 is 3.

Also check out the Least Common Multiple of 45549 and 45555