What is the Greatest Common Factor of 73580 and 73585?

Greatest common factor (GCF) of 73580 and 73585 is 5.

GCF(73580,73585) = 5

We will now calculate the prime factors of 73580 and 73585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73580 and 73585.

How to find the GCF of 73580 and 73585?

We will first find the prime factorization of 73580 and 73585. After we will calculate the factors of 73580 and 73585 and find the biggest common factor number .

Step-1: Prime Factorization of 73580

Prime factors of 73580 are 2, 5, 13, 283. Prime factorization of 73580 in exponential form is:

73580 = 2² × 5¹ × 13¹ × 283¹

Step-2: Prime Factorization of 73585

Prime factors of 73585 are 5, 14717. Prime factorization of 73585 in exponential form is:

73585 = 5¹ × 14717¹

Step-3: Factors of 73580

List of positive integer factors of 73580 that divides 73580 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 283, 566, 1132, 1415, 2830, 3679, 5660, 7358, 14716, 18395, 36790

Step-4: Factors of 73585

List of positive integer factors of 73585 that divides 73580 without a remainder.

1, 5, 14717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73580 and 73585. The biggest common factor number is the GCF number.
So the greatest common factor 73580 and 73585 is 5.

Also check out the Least Common Multiple of 73580 and 73585