What is the Greatest Common Factor of 36289 and 36308?

Greatest common factor (GCF) of 36289 and 36308 is 1.

GCF(36289,36308) = 1

We will now calculate the prime factors of 36289 and 36308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36289 and 36308.

How to find the GCF of 36289 and 36308?

We will first find the prime factorization of 36289 and 36308. After we will calculate the factors of 36289 and 36308 and find the biggest common factor number .

Step-1: Prime Factorization of 36289

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

36289 = 11¹ × 3299¹

Step-2: Prime Factorization of 36308

Prime factors of 36308 are 2, 29, 313. Prime factorization of 36308 in exponential form is:

36308 = 2² × 29¹ × 313¹

Step-3: Factors of 36289

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

1, 11, 3299

Step-4: Factors of 36308

List of positive integer factors of 36308 that divides 36289 without a remainder.

1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36289 and 36308. The biggest common factor number is the GCF number.
So the greatest common factor 36289 and 36308 is 1.

Also check out the Least Common Multiple of 36289 and 36308