What is the Greatest Common Factor of 36580 and 36587?

Greatest common factor (GCF) of 36580 and 36587 is 1.

GCF(36580,36587) = 1

We will now calculate the prime factors of 36580 and 36587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36580 and 36587.

How to find the GCF of 36580 and 36587?

We will first find the prime factorization of 36580 and 36587. After we will calculate the factors of 36580 and 36587 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 36587

Prime factors of 36587 are 36587. Prime factorization of 36587 in exponential form is:

36587 = 36587¹

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 36587

List of positive integer factors of 36587 that divides 36580 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36580 and 36587. The biggest common factor number is the GCF number.
So the greatest common factor 36580 and 36587 is 1.

Also check out the Least Common Multiple of 36580 and 36587