What is the Greatest Common Factor of 72324 and 72331?

Greatest common factor (GCF) of 72324 and 72331 is 7.

GCF(72324,72331) = 7

We will now calculate the prime factors of 72324 and 72331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72324 and 72331.

How to find the GCF of 72324 and 72331?

We will first find the prime factorization of 72324 and 72331. After we will calculate the factors of 72324 and 72331 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 72331

Prime factors of 72331 are 7, 10333. Prime factorization of 72331 in exponential form is:

72331 = 7¹ × 10333¹

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 72331

List of positive integer factors of 72331 that divides 72324 without a remainder.

1, 7, 10333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72324 and 72331. The biggest common factor number is the GCF number.
So the greatest common factor 72324 and 72331 is 7.

Also check out the Least Common Multiple of 72324 and 72331