What is the Greatest Common Factor of 36918 and 36927?

Greatest common factor (GCF) of 36918 and 36927 is 9.

GCF(36918,36927) = 9

We will now calculate the prime factors of 36918 and 36927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36918 and 36927.

How to find the GCF of 36918 and 36927?

We will first find the prime factorization of 36918 and 36927. After we will calculate the factors of 36918 and 36927 and find the biggest common factor number .

Step-1: Prime Factorization of 36918

Prime factors of 36918 are 2, 3, 7, 293. Prime factorization of 36918 in exponential form is:

36918 = 2¹ × 3² × 7¹ × 293¹

Step-2: Prime Factorization of 36927

Prime factors of 36927 are 3, 11, 373. Prime factorization of 36927 in exponential form is:

36927 = 3² × 11¹ × 373¹

Step-3: Factors of 36918

List of positive integer factors of 36918 that divides 36918 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 293, 586, 879, 1758, 2051, 2637, 4102, 5274, 6153, 12306, 18459

Step-4: Factors of 36927

List of positive integer factors of 36927 that divides 36918 without a remainder.

1, 3, 9, 11, 33, 99, 373, 1119, 3357, 4103, 12309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36918 and 36927. The biggest common factor number is the GCF number.
So the greatest common factor 36918 and 36927 is 9.

Also check out the Least Common Multiple of 36918 and 36927