What is the Greatest Common Factor of 36288 and 36304?

Greatest common factor (GCF) of 36288 and 36304 is 16.

GCF(36288,36304) = 16

We will now calculate the prime factors of 36288 and 36304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36288 and 36304.

How to find the GCF of 36288 and 36304?

We will first find the prime factorization of 36288 and 36304. After we will calculate the factors of 36288 and 36304 and find the biggest common factor number .

Step-1: Prime Factorization of 36288

Prime factors of 36288 are 2, 3, 7. Prime factorization of 36288 in exponential form is:

36288 = 2⁶ × 3⁴ × 7¹

Step-2: Prime Factorization of 36304

Prime factors of 36304 are 2, 2269. Prime factorization of 36304 in exponential form is:

36304 = 2⁴ × 2269¹

Step-3: Factors of 36288

List of positive integer factors of 36288 that divides 36288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 81, 84, 96, 108, 112, 126, 144, 162, 168, 189, 192, 216, 224, 252, 288, 324, 336, 378, 432, 448, 504, 567, 576, 648, 672, 756, 864, 1008, 1134, 1296, 1344, 1512, 1728, 2016, 2268, 2592, 3024, 4032, 4536, 5184, 6048, 9072, 12096, 18144

Step-4: Factors of 36304

List of positive integer factors of 36304 that divides 36288 without a remainder.

1, 2, 4, 8, 16, 2269, 4538, 9076, 18152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36288 and 36304. The biggest common factor number is the GCF number.
So the greatest common factor 36288 and 36304 is 16.

Also check out the Least Common Multiple of 36288 and 36304