What is the Greatest Common Factor of 44580 and 44584?

Greatest common factor (GCF) of 44580 and 44584 is 4.

GCF(44580,44584) = 4

We will now calculate the prime factors of 44580 and 44584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44580 and 44584.

How to find the GCF of 44580 and 44584?

We will first find the prime factorization of 44580 and 44584. After we will calculate the factors of 44580 and 44584 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 44584

Prime factors of 44584 are 2, 5573. Prime factorization of 44584 in exponential form is:

44584 = 2³ × 5573¹

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 44584

List of positive integer factors of 44584 that divides 44580 without a remainder.

1, 2, 4, 8, 5573, 11146, 22292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44580 and 44584. The biggest common factor number is the GCF number.
So the greatest common factor 44580 and 44584 is 4.

Also check out the Least Common Multiple of 44580 and 44584