What is the Greatest Common Factor of 72324 and 72342?

Greatest common factor (GCF) of 72324 and 72342 is 18.

GCF(72324,72342) = 18

We will now calculate the prime factors of 72324 and 72342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72324 and 72342.

How to find the GCF of 72324 and 72342?

We will first find the prime factorization of 72324 and 72342. After we will calculate the factors of 72324 and 72342 and find the biggest common factor number .

Step-1: Prime Factorization of 72324

Prime factors of 72324 are 2, 3, 7, 41. Prime factorization of 72324 in exponential form is:

72324 = 2² × 3² × 7² × 41¹

Step-2: Prime Factorization of 72342

Prime factors of 72342 are 2, 3, 4019. Prime factorization of 72342 in exponential form is:

72342 = 2¹ × 3² × 4019¹

Step-3: Factors of 72324

List of positive integer factors of 72324 that divides 72324 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 49, 63, 82, 84, 98, 123, 126, 147, 164, 196, 246, 252, 287, 294, 369, 441, 492, 574, 588, 738, 861, 882, 1148, 1476, 1722, 1764, 2009, 2583, 3444, 4018, 5166, 6027, 8036, 10332, 12054, 18081, 24108, 36162

Step-4: Factors of 72342

List of positive integer factors of 72342 that divides 72324 without a remainder.

1, 2, 3, 6, 9, 18, 4019, 8038, 12057, 24114, 36171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72324 and 72342. The biggest common factor number is the GCF number.
So the greatest common factor 72324 and 72342 is 18.

Also check out the Least Common Multiple of 72324 and 72342