What is the Greatest Common Factor of 69441 and 69453?

Greatest common factor (GCF) of 69441 and 69453 is 3.

GCF(69441,69453) = 3

We will now calculate the prime factors of 69441 and 69453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69441 and 69453.

How to find the GCF of 69441 and 69453?

We will first find the prime factorization of 69441 and 69453. After we will calculate the factors of 69441 and 69453 and find the biggest common factor number .

Step-1: Prime Factorization of 69441

Prime factors of 69441 are 3, 79, 293. Prime factorization of 69441 in exponential form is:

69441 = 3¹ × 79¹ × 293¹

Step-2: Prime Factorization of 69453

Prime factors of 69453 are 3, 7717. Prime factorization of 69453 in exponential form is:

69453 = 3² × 7717¹

Step-3: Factors of 69441

List of positive integer factors of 69441 that divides 69441 without a remainder.

1, 3, 79, 237, 293, 879, 23147

Step-4: Factors of 69453

List of positive integer factors of 69453 that divides 69441 without a remainder.

1, 3, 9, 7717, 23151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69441 and 69453. The biggest common factor number is the GCF number.
So the greatest common factor 69441 and 69453 is 3.

Also check out the Least Common Multiple of 69441 and 69453