What is the Greatest Common Factor of 72369 and 72387?

Greatest common factor (GCF) of 72369 and 72387 is 9.

GCF(72369,72387) = 9

We will now calculate the prime factors of 72369 and 72387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72369 and 72387.

How to find the GCF of 72369 and 72387?

We will first find the prime factorization of 72369 and 72387. After we will calculate the factors of 72369 and 72387 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72387

Prime factors of 72387 are 3, 7, 383. Prime factorization of 72387 in exponential form is:

72387 = 3³ × 7¹ × 383¹

Step-3: Factors of 72369

List of positive integer factors of 72369 that divides 72369 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

Step-4: Factors of 72387

List of positive integer factors of 72387 that divides 72369 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 383, 1149, 2681, 3447, 8043, 10341, 24129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72369 and 72387. The biggest common factor number is the GCF number.
So the greatest common factor 72369 and 72387 is 9.

Also check out the Least Common Multiple of 72369 and 72387