What is the Greatest Common Factor of 73580 and 73589?

Greatest common factor (GCF) of 73580 and 73589 is 1.

GCF(73580,73589) = 1

We will now calculate the prime factors of 73580 and 73589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73580 and 73589.

How to find the GCF of 73580 and 73589?

We will first find the prime factorization of 73580 and 73589. After we will calculate the factors of 73580 and 73589 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 73589

Prime factors of 73589 are 73589. Prime factorization of 73589 in exponential form is:

73589 = 73589¹

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 73589

List of positive integer factors of 73589 that divides 73580 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73580 and 73589. The biggest common factor number is the GCF number.
So the greatest common factor 73580 and 73589 is 1.

Also check out the Least Common Multiple of 73580 and 73589