What is the Greatest Common Factor of 72304 and 72324?

Greatest common factor (GCF) of 72304 and 72324 is 4.

GCF(72304,72324) = 4

We will now calculate the prime factors of 72304 and 72324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72304 and 72324.

How to find the GCF of 72304 and 72324?

We will first find the prime factorization of 72304 and 72324. After we will calculate the factors of 72304 and 72324 and find the biggest common factor number .

Step-1: Prime Factorization of 72304

Prime factors of 72304 are 2, 4519. Prime factorization of 72304 in exponential form is:

72304 = 2⁴ × 4519¹

Step-2: 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-3: Factors of 72304

List of positive integer factors of 72304 that divides 72304 without a remainder.

1, 2, 4, 8, 16, 4519, 9038, 18076, 36152

Step-4: Factors of 72324

List of positive integer factors of 72324 that divides 72304 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72304 and 72324. The biggest common factor number is the GCF number.
So the greatest common factor 72304 and 72324 is 4.

Also check out the Least Common Multiple of 72304 and 72324