What is the Greatest Common Factor of 72324 and 72338?

Greatest common factor (GCF) of 72324 and 72338 is 14.

GCF(72324,72338) = 14

We will now calculate the prime factors of 72324 and 72338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72324 and 72338.

How to find the GCF of 72324 and 72338?

We will first find the prime factorization of 72324 and 72338. After we will calculate the factors of 72324 and 72338 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 72338

Prime factors of 72338 are 2, 7, 5167. Prime factorization of 72338 in exponential form is:

72338 = 2¹ × 7¹ × 5167¹

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 72338

List of positive integer factors of 72338 that divides 72324 without a remainder.

1, 2, 7, 14, 5167, 10334, 36169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72324 and 72338. The biggest common factor number is the GCF number.
So the greatest common factor 72324 and 72338 is 14.

Also check out the Least Common Multiple of 72324 and 72338