What is the Greatest Common Factor of 45573 and 45585?

Greatest common factor (GCF) of 45573 and 45585 is 3.

GCF(45573,45585) = 3

We will now calculate the prime factors of 45573 and 45585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45573 and 45585.

How to find the GCF of 45573 and 45585?

We will first find the prime factorization of 45573 and 45585. After we will calculate the factors of 45573 and 45585 and find the biggest common factor number .

Step-1: Prime Factorization of 45573

Prime factors of 45573 are 3, 11, 1381. Prime factorization of 45573 in exponential form is:

45573 = 3¹ × 11¹ × 1381¹

Step-2: Prime Factorization of 45585

Prime factors of 45585 are 3, 5, 1013. Prime factorization of 45585 in exponential form is:

45585 = 3² × 5¹ × 1013¹

Step-3: Factors of 45573

List of positive integer factors of 45573 that divides 45573 without a remainder.

1, 3, 11, 33, 1381, 4143, 15191

Step-4: Factors of 45585

List of positive integer factors of 45585 that divides 45573 without a remainder.

1, 3, 5, 9, 15, 45, 1013, 3039, 5065, 9117, 15195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45573 and 45585. The biggest common factor number is the GCF number.
So the greatest common factor 45573 and 45585 is 3.

Also check out the Least Common Multiple of 45573 and 45585