What is the Greatest Common Factor of 36558 and 36567?

Greatest common factor (GCF) of 36558 and 36567 is 9.

GCF(36558,36567) = 9

We will now calculate the prime factors of 36558 and 36567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36558 and 36567.

How to find the GCF of 36558 and 36567?

We will first find the prime factorization of 36558 and 36567. After we will calculate the factors of 36558 and 36567 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 36567

Prime factors of 36567 are 3, 17, 239. Prime factorization of 36567 in exponential form is:

36567 = 3² × 17¹ × 239¹

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 36567

List of positive integer factors of 36567 that divides 36558 without a remainder.

1, 3, 9, 17, 51, 153, 239, 717, 2151, 4063, 12189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36558 and 36567. The biggest common factor number is the GCF number.
So the greatest common factor 36558 and 36567 is 9.

Also check out the Least Common Multiple of 36558 and 36567