What is the Greatest Common Factor of 69423 and 69441?

Greatest common factor (GCF) of 69423 and 69441 is 3.

GCF(69423,69441) = 3

We will now calculate the prime factors of 69423 and 69441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69423 and 69441.

How to find the GCF of 69423 and 69441?

We will first find the prime factorization of 69423 and 69441. After we will calculate the factors of 69423 and 69441 and find the biggest common factor number .

Step-1: Prime Factorization of 69423

Prime factors of 69423 are 3, 73, 317. Prime factorization of 69423 in exponential form is:

69423 = 3¹ × 73¹ × 317¹

Step-2: 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-3: Factors of 69423

List of positive integer factors of 69423 that divides 69423 without a remainder.

1, 3, 73, 219, 317, 951, 23141

Step-4: Factors of 69441

List of positive integer factors of 69441 that divides 69423 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69423 and 69441. The biggest common factor number is the GCF number.
So the greatest common factor 69423 and 69441 is 3.

Also check out the Least Common Multiple of 69423 and 69441