What is the Greatest Common Factor of 45585 and 45596?

Greatest common factor (GCF) of 45585 and 45596 is 1.

GCF(45585,45596) = 1

We will now calculate the prime factors of 45585 and 45596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45585 and 45596.

How to find the GCF of 45585 and 45596?

We will first find the prime factorization of 45585 and 45596. After we will calculate the factors of 45585 and 45596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45596

Prime factors of 45596 are 2, 11399. Prime factorization of 45596 in exponential form is:

45596 = 2² × 11399¹

Step-3: Factors of 45585

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

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

Step-4: Factors of 45596

List of positive integer factors of 45596 that divides 45585 without a remainder.

1, 2, 4, 11399, 22798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45585 and 45596. The biggest common factor number is the GCF number.
So the greatest common factor 45585 and 45596 is 1.

Also check out the Least Common Multiple of 45585 and 45596