What is the Greatest Common Factor of 36918 and 36928?

Greatest common factor (GCF) of 36918 and 36928 is 2.

GCF(36918,36928) = 2

We will now calculate the prime factors of 36918 and 36928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36918 and 36928.

How to find the GCF of 36918 and 36928?

We will first find the prime factorization of 36918 and 36928. After we will calculate the factors of 36918 and 36928 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 36928

Prime factors of 36928 are 2, 577. Prime factorization of 36928 in exponential form is:

36928 = 2⁶ × 577¹

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 36928

List of positive integer factors of 36928 that divides 36918 without a remainder.

1, 2, 4, 8, 16, 32, 64, 577, 1154, 2308, 4616, 9232, 18464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36918 and 36928. The biggest common factor number is the GCF number.
So the greatest common factor 36918 and 36928 is 2.

Also check out the Least Common Multiple of 36918 and 36928