What is the Greatest Common Factor of 580 and 587?

Greatest common factor (GCF) of 580 and 587 is 1.

GCF(580,587) = 1

We will now calculate the prime factors of 580 and 587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 580 and 587.

How to find the GCF of 580 and 587?

We will first find the prime factorization of 580 and 587. After we will calculate the factors of 580 and 587 and find the biggest common factor number .

Step-1: Prime Factorization of 580

Prime factors of 580 are 2, 5, 29. Prime factorization of 580 in exponential form is:

580 = 2² × 5¹ × 29¹

Step-2: Prime Factorization of 587

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 587¹

Step-3: Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290

Step-4: Factors of 587

List of positive integer factors of 587 that divides 580 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 580 and 587. The biggest common factor number is the GCF number.
So the greatest common factor 580 and 587 is 1.

Also check out the Least Common Multiple of 580 and 587