What is the Greatest Common Factor of 36928 and 36936?

Greatest common factor (GCF) of 36928 and 36936 is 8.

GCF(36928,36936) = 8

We will now calculate the prime factors of 36928 and 36936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36928 and 36936.

How to find the GCF of 36928 and 36936?

We will first find the prime factorization of 36928 and 36936. After we will calculate the factors of 36928 and 36936 and find the biggest common factor number .

Step-1: Prime Factorization of 36928

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

36928 = 2⁶ × 577¹

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 36928

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

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

Step-4: Factors of 36936

List of positive integer factors of 36936 that divides 36928 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 36928 and 36936. The biggest common factor number is the GCF number.
So the greatest common factor 36928 and 36936 is 8.

Also check out the Least Common Multiple of 36928 and 36936