What is the Greatest Common Factor of 76329 and 76343?

Greatest common factor (GCF) of 76329 and 76343 is 1.

GCF(76329,76343) = 1

We will now calculate the prime factors of 76329 and 76343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76329 and 76343.

How to find the GCF of 76329 and 76343?

We will first find the prime factorization of 76329 and 76343. After we will calculate the factors of 76329 and 76343 and find the biggest common factor number .

Step-1: Prime Factorization of 76329

Prime factors of 76329 are 3, 11, 257. Prime factorization of 76329 in exponential form is:

76329 = 3³ × 11¹ × 257¹

Step-2: Prime Factorization of 76343

Prime factors of 76343 are 76343. Prime factorization of 76343 in exponential form is:

76343 = 76343¹

Step-3: Factors of 76329

List of positive integer factors of 76329 that divides 76329 without a remainder.

1, 3, 9, 11, 27, 33, 99, 257, 297, 771, 2313, 2827, 6939, 8481, 25443

Step-4: Factors of 76343

List of positive integer factors of 76343 that divides 76329 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76329 and 76343. The biggest common factor number is the GCF number.
So the greatest common factor 76329 and 76343 is 1.

Also check out the Least Common Multiple of 76329 and 76343