What is the Greatest Common Factor of 36249 and 36268?

Greatest common factor (GCF) of 36249 and 36268 is 1.

GCF(36249,36268) = 1

We will now calculate the prime factors of 36249 and 36268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36249 and 36268.

How to find the GCF of 36249 and 36268?

We will first find the prime factorization of 36249 and 36268. After we will calculate the factors of 36249 and 36268 and find the biggest common factor number .

Step-1: Prime Factorization of 36249

Prime factors of 36249 are 3, 43, 281. Prime factorization of 36249 in exponential form is:

36249 = 3¹ × 43¹ × 281¹

Step-2: Prime Factorization of 36268

Prime factors of 36268 are 2, 9067. Prime factorization of 36268 in exponential form is:

36268 = 2² × 9067¹

Step-3: Factors of 36249

List of positive integer factors of 36249 that divides 36249 without a remainder.

1, 3, 43, 129, 281, 843, 12083

Step-4: Factors of 36268

List of positive integer factors of 36268 that divides 36249 without a remainder.

1, 2, 4, 9067, 18134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36249 and 36268. The biggest common factor number is the GCF number.
So the greatest common factor 36249 and 36268 is 1.

Also check out the Least Common Multiple of 36249 and 36268