What is the Greatest Common Factor of 36269 and 36288?

Greatest common factor (GCF) of 36269 and 36288 is 1.

GCF(36269,36288) = 1

We will now calculate the prime factors of 36269 and 36288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36269 and 36288.

How to find the GCF of 36269 and 36288?

We will first find the prime factorization of 36269 and 36288. After we will calculate the factors of 36269 and 36288 and find the biggest common factor number .

Step-1: Prime Factorization of 36269

Prime factors of 36269 are 36269. Prime factorization of 36269 in exponential form is:

36269 = 36269¹

Step-2: 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-3: Factors of 36269

List of positive integer factors of 36269 that divides 36269 without a remainder.

Step-4: Factors of 36288

List of positive integer factors of 36288 that divides 36269 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36269 and 36288. The biggest common factor number is the GCF number.
So the greatest common factor 36269 and 36288 is 1.

Also check out the Least Common Multiple of 36269 and 36288