What is the Greatest Common Factor of 72363 and 72369?

Greatest common factor (GCF) of 72363 and 72369 is 3.

GCF(72363,72369) = 3

We will now calculate the prime factors of 72363 and 72369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72363 and 72369.

How to find the GCF of 72363 and 72369?

We will first find the prime factorization of 72363 and 72369. After we will calculate the factors of 72363 and 72369 and find the biggest common factor number .

Step-1: Prime Factorization of 72363

Prime factors of 72363 are 3, 24121. Prime factorization of 72363 in exponential form is:

72363 = 3¹ × 24121¹

Step-2: Prime Factorization of 72369

Prime factors of 72369 are 3, 11, 17, 43. Prime factorization of 72369 in exponential form is:

72369 = 3² × 11¹ × 17¹ × 43¹

Step-3: Factors of 72363

List of positive integer factors of 72363 that divides 72363 without a remainder.

1, 3, 24121

Step-4: Factors of 72369

List of positive integer factors of 72369 that divides 72363 without a remainder.

1, 3, 9, 11, 17, 33, 43, 51, 99, 129, 153, 187, 387, 473, 561, 731, 1419, 1683, 2193, 4257, 6579, 8041, 24123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72363 and 72369. The biggest common factor number is the GCF number.
So the greatest common factor 72363 and 72369 is 3.

Also check out the Least Common Multiple of 72363 and 72369