What is the Greatest Common Factor of 44580 and 44585?

Greatest common factor (GCF) of 44580 and 44585 is 5.

GCF(44580,44585) = 5

We will now calculate the prime factors of 44580 and 44585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44580 and 44585.

How to find the GCF of 44580 and 44585?

We will first find the prime factorization of 44580 and 44585. After we will calculate the factors of 44580 and 44585 and find the biggest common factor number .

Step-1: Prime Factorization of 44580

Prime factors of 44580 are 2, 3, 5, 743. Prime factorization of 44580 in exponential form is:

44580 = 2² × 3¹ × 5¹ × 743¹

Step-2: Prime Factorization of 44585

Prime factors of 44585 are 5, 37, 241. Prime factorization of 44585 in exponential form is:

44585 = 5¹ × 37¹ × 241¹

Step-3: Factors of 44580

List of positive integer factors of 44580 that divides 44580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 743, 1486, 2229, 2972, 3715, 4458, 7430, 8916, 11145, 14860, 22290

Step-4: Factors of 44585

List of positive integer factors of 44585 that divides 44580 without a remainder.

1, 5, 37, 185, 241, 1205, 8917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44580 and 44585. The biggest common factor number is the GCF number.
So the greatest common factor 44580 and 44585 is 5.

Also check out the Least Common Multiple of 44580 and 44585