What is the Greatest Common Factor of 72333 and 72341?

Greatest common factor (GCF) of 72333 and 72341 is 1.

GCF(72333,72341) = 1

We will now calculate the prime factors of 72333 and 72341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72333 and 72341.

How to find the GCF of 72333 and 72341?

We will first find the prime factorization of 72333 and 72341. After we will calculate the factors of 72333 and 72341 and find the biggest common factor number .

Step-1: Prime Factorization of 72333

Prime factors of 72333 are 3, 19, 47. Prime factorization of 72333 in exponential form is:

72333 = 3⁴ × 19¹ × 47¹

Step-2: Prime Factorization of 72341

Prime factors of 72341 are 72341. Prime factorization of 72341 in exponential form is:

72341 = 72341¹

Step-3: Factors of 72333

List of positive integer factors of 72333 that divides 72333 without a remainder.

1, 3, 9, 19, 27, 47, 57, 81, 141, 171, 423, 513, 893, 1269, 1539, 2679, 3807, 8037, 24111

Step-4: Factors of 72341

List of positive integer factors of 72341 that divides 72333 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72333 and 72341. The biggest common factor number is the GCF number.
So the greatest common factor 72333 and 72341 is 1.

Also check out the Least Common Multiple of 72333 and 72341