What is the Greatest Common Factor of 28580 and 28585?

Greatest common factor (GCF) of 28580 and 28585 is 5.

GCF(28580,28585) = 5

We will now calculate the prime factors of 28580 and 28585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28580 and 28585.

How to find the GCF of 28580 and 28585?

We will first find the prime factorization of 28580 and 28585. After we will calculate the factors of 28580 and 28585 and find the biggest common factor number .

Step-1: Prime Factorization of 28580

Prime factors of 28580 are 2, 5, 1429. Prime factorization of 28580 in exponential form is:

28580 = 2² × 5¹ × 1429¹

Step-2: Prime Factorization of 28585

Prime factors of 28585 are 5, 5717. Prime factorization of 28585 in exponential form is:

28585 = 5¹ × 5717¹

Step-3: Factors of 28580

List of positive integer factors of 28580 that divides 28580 without a remainder.

1, 2, 4, 5, 10, 20, 1429, 2858, 5716, 7145, 14290

Step-4: Factors of 28585

List of positive integer factors of 28585 that divides 28580 without a remainder.

1, 5, 5717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28580 and 28585. The biggest common factor number is the GCF number.
So the greatest common factor 28580 and 28585 is 5.

Also check out the Least Common Multiple of 28580 and 28585