What is the Greatest Common Factor of 36918 and 36936?

Greatest common factor (GCF) of 36918 and 36936 is 18.

GCF(36918,36936) = 18

We will now calculate the prime factors of 36918 and 36936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36918 and 36936.

How to find the GCF of 36918 and 36936?

We will first find the prime factorization of 36918 and 36936. After we will calculate the factors of 36918 and 36936 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 36936

Prime factors of 36936 are 2, 3, 19. Prime factorization of 36936 in exponential form is:

36936 = 2³ × 3⁵ × 19¹

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 36936

List of positive integer factors of 36936 that divides 36918 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 81, 108, 114, 152, 162, 171, 216, 228, 243, 324, 342, 456, 486, 513, 648, 684, 972, 1026, 1368, 1539, 1944, 2052, 3078, 4104, 4617, 6156, 9234, 12312, 18468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36918 and 36936. The biggest common factor number is the GCF number.
So the greatest common factor 36918 and 36936 is 18.

Also check out the Least Common Multiple of 36918 and 36936