What is the Greatest Common Factor of 36276 and 36291?

Greatest common factor (GCF) of 36276 and 36291 is 3.

GCF(36276,36291) = 3

We will now calculate the prime factors of 36276 and 36291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36276 and 36291.

How to find the GCF of 36276 and 36291?

We will first find the prime factorization of 36276 and 36291. After we will calculate the factors of 36276 and 36291 and find the biggest common factor number .

Step-1: Prime Factorization of 36276

Prime factors of 36276 are 2, 3, 3023. Prime factorization of 36276 in exponential form is:

36276 = 2² × 3¹ × 3023¹

Step-2: Prime Factorization of 36291

Prime factors of 36291 are 3, 12097. Prime factorization of 36291 in exponential form is:

36291 = 3¹ × 12097¹

Step-3: Factors of 36276

List of positive integer factors of 36276 that divides 36276 without a remainder.

1, 2, 3, 4, 6, 12, 3023, 6046, 9069, 12092, 18138

Step-4: Factors of 36291

List of positive integer factors of 36291 that divides 36276 without a remainder.

1, 3, 12097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36276 and 36291. The biggest common factor number is the GCF number.
So the greatest common factor 36276 and 36291 is 3.

Also check out the Least Common Multiple of 36276 and 36291