What is the Greatest Common Factor of 36272 and 36289?

Greatest common factor (GCF) of 36272 and 36289 is 1.

GCF(36272,36289) = 1

We will now calculate the prime factors of 36272 and 36289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36272 and 36289.

How to find the GCF of 36272 and 36289?

We will first find the prime factorization of 36272 and 36289. After we will calculate the factors of 36272 and 36289 and find the biggest common factor number .

Step-1: Prime Factorization of 36272

Prime factors of 36272 are 2, 2267. Prime factorization of 36272 in exponential form is:

36272 = 2⁴ × 2267¹

Step-2: Prime Factorization of 36289

Prime factors of 36289 are 11, 3299. Prime factorization of 36289 in exponential form is:

36289 = 11¹ × 3299¹

Step-3: Factors of 36272

List of positive integer factors of 36272 that divides 36272 without a remainder.

1, 2, 4, 8, 16, 2267, 4534, 9068, 18136

Step-4: Factors of 36289

List of positive integer factors of 36289 that divides 36272 without a remainder.

1, 11, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36272 and 36289. The biggest common factor number is the GCF number.
So the greatest common factor 36272 and 36289 is 1.

Also check out the Least Common Multiple of 36272 and 36289