What is the Greatest Common Factor of 72333 and 72343?

Greatest common factor (GCF) of 72333 and 72343 is 1.

GCF(72333,72343) = 1

We will now calculate the prime factors of 72333 and 72343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72333 and 72343.

How to find the GCF of 72333 and 72343?

We will first find the prime factorization of 72333 and 72343. After we will calculate the factors of 72333 and 72343 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 72343

Prime factors of 72343 are 73, 991. Prime factorization of 72343 in exponential form is:

72343 = 73¹ × 991¹

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 72343

List of positive integer factors of 72343 that divides 72333 without a remainder.

1, 73, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72333 and 72343. The biggest common factor number is the GCF number.
So the greatest common factor 72333 and 72343 is 1.

Also check out the Least Common Multiple of 72333 and 72343