What is the Greatest Common Factor of 36558 and 36578?

Greatest common factor (GCF) of 36558 and 36578 is 2.

GCF(36558,36578) = 2

We will now calculate the prime factors of 36558 and 36578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36558 and 36578.

How to find the GCF of 36558 and 36578?

We will first find the prime factorization of 36558 and 36578. After we will calculate the factors of 36558 and 36578 and find the biggest common factor number .

Step-1: Prime Factorization of 36558

Prime factors of 36558 are 2, 3, 677. Prime factorization of 36558 in exponential form is:

36558 = 2¹ × 3³ × 677¹

Step-2: Prime Factorization of 36578

Prime factors of 36578 are 2, 18289. Prime factorization of 36578 in exponential form is:

36578 = 2¹ × 18289¹

Step-3: Factors of 36558

List of positive integer factors of 36558 that divides 36558 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 677, 1354, 2031, 4062, 6093, 12186, 18279

Step-4: Factors of 36578

List of positive integer factors of 36578 that divides 36558 without a remainder.

1, 2, 18289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36558 and 36578. The biggest common factor number is the GCF number.
So the greatest common factor 36558 and 36578 is 2.

Also check out the Least Common Multiple of 36558 and 36578