What is the Greatest Common Factor of 36584 and 36599?

Greatest common factor (GCF) of 36584 and 36599 is 1.

GCF(36584,36599) = 1

We will now calculate the prime factors of 36584 and 36599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36584 and 36599.

How to find the GCF of 36584 and 36599?

We will first find the prime factorization of 36584 and 36599. After we will calculate the factors of 36584 and 36599 and find the biggest common factor number .

Step-1: Prime Factorization of 36584

Prime factors of 36584 are 2, 17, 269. Prime factorization of 36584 in exponential form is:

36584 = 2³ × 17¹ × 269¹

Step-2: Prime Factorization of 36599

Prime factors of 36599 are 36599. Prime factorization of 36599 in exponential form is:

36599 = 36599¹

Step-3: Factors of 36584

List of positive integer factors of 36584 that divides 36584 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 269, 538, 1076, 2152, 4573, 9146, 18292

Step-4: Factors of 36599

List of positive integer factors of 36599 that divides 36584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36584 and 36599. The biggest common factor number is the GCF number.
So the greatest common factor 36584 and 36599 is 1.

Also check out the Least Common Multiple of 36584 and 36599