What is the Greatest Common Factor of 45565 and 45585?

Greatest common factor (GCF) of 45565 and 45585 is 5.

GCF(45565,45585) = 5

We will now calculate the prime factors of 45565 and 45585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45565 and 45585.

How to find the GCF of 45565 and 45585?

We will first find the prime factorization of 45565 and 45585. After we will calculate the factors of 45565 and 45585 and find the biggest common factor number .

Step-1: Prime Factorization of 45565

Prime factors of 45565 are 5, 13, 701. Prime factorization of 45565 in exponential form is:

45565 = 5¹ × 13¹ × 701¹

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 45565

List of positive integer factors of 45565 that divides 45565 without a remainder.

1, 5, 13, 65, 701, 3505, 9113

Step-4: Factors of 45585

List of positive integer factors of 45585 that divides 45565 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 45565 and 45585. The biggest common factor number is the GCF number.
So the greatest common factor 45565 and 45585 is 5.

Also check out the Least Common Multiple of 45565 and 45585