What is the Greatest Common Factor of 36441 and 36453?

Greatest common factor (GCF) of 36441 and 36453 is 3.

GCF(36441,36453) = 3

We will now calculate the prime factors of 36441 and 36453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36441 and 36453.

How to find the GCF of 36441 and 36453?

We will first find the prime factorization of 36441 and 36453. After we will calculate the factors of 36441 and 36453 and find the biggest common factor number .

Step-1: Prime Factorization of 36441

Prime factors of 36441 are 3, 4049. Prime factorization of 36441 in exponential form is:

36441 = 3² × 4049¹

Step-2: Prime Factorization of 36453

Prime factors of 36453 are 3, 29, 419. Prime factorization of 36453 in exponential form is:

36453 = 3¹ × 29¹ × 419¹

Step-3: Factors of 36441

List of positive integer factors of 36441 that divides 36441 without a remainder.

1, 3, 9, 4049, 12147

Step-4: Factors of 36453

List of positive integer factors of 36453 that divides 36441 without a remainder.

1, 3, 29, 87, 419, 1257, 12151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36441 and 36453. The biggest common factor number is the GCF number.
So the greatest common factor 36441 and 36453 is 3.

Also check out the Least Common Multiple of 36441 and 36453