What is the Greatest Common Factor of 36580 and 36589?

Greatest common factor (GCF) of 36580 and 36589 is 1.

GCF(36580,36589) = 1

We will now calculate the prime factors of 36580 and 36589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36580 and 36589.

How to find the GCF of 36580 and 36589?

We will first find the prime factorization of 36580 and 36589. After we will calculate the factors of 36580 and 36589 and find the biggest common factor number .

Step-1: Prime Factorization of 36580

Prime factors of 36580 are 2, 5, 31, 59. Prime factorization of 36580 in exponential form is:

36580 = 2² × 5¹ × 31¹ × 59¹

Step-2: Prime Factorization of 36589

Prime factors of 36589 are 7, 5227. Prime factorization of 36589 in exponential form is:

36589 = 7¹ × 5227¹

Step-3: Factors of 36580

List of positive integer factors of 36580 that divides 36580 without a remainder.

1, 2, 4, 5, 10, 20, 31, 59, 62, 118, 124, 155, 236, 295, 310, 590, 620, 1180, 1829, 3658, 7316, 9145, 18290

Step-4: Factors of 36589

List of positive integer factors of 36589 that divides 36580 without a remainder.

1, 7, 5227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36580 and 36589. The biggest common factor number is the GCF number.
So the greatest common factor 36580 and 36589 is 1.

Also check out the Least Common Multiple of 36580 and 36589