What is the Greatest Common Factor of 45566 and 45585?

Greatest common factor (GCF) of 45566 and 45585 is 1.

GCF(45566,45585) = 1

We will now calculate the prime factors of 45566 and 45585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45566 and 45585.

How to find the GCF of 45566 and 45585?

We will first find the prime factorization of 45566 and 45585. After we will calculate the factors of 45566 and 45585 and find the biggest common factor number .

Step-1: Prime Factorization of 45566

Prime factors of 45566 are 2, 22783. Prime factorization of 45566 in exponential form is:

45566 = 2¹ × 22783¹

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 45566

List of positive integer factors of 45566 that divides 45566 without a remainder.

1, 2, 22783

Step-4: Factors of 45585

List of positive integer factors of 45585 that divides 45566 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 45566 and 45585. The biggest common factor number is the GCF number.
So the greatest common factor 45566 and 45585 is 1.

Also check out the Least Common Multiple of 45566 and 45585