What is the Greatest Common Factor of 76329 and 76337?

Greatest common factor (GCF) of 76329 and 76337 is 1.

GCF(76329,76337) = 1

We will now calculate the prime factors of 76329 and 76337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76329 and 76337.

How to find the GCF of 76329 and 76337?

We will first find the prime factorization of 76329 and 76337. After we will calculate the factors of 76329 and 76337 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 76337

Prime factors of 76337 are 23, 3319. Prime factorization of 76337 in exponential form is:

76337 = 23¹ × 3319¹

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 76337

List of positive integer factors of 76337 that divides 76329 without a remainder.

1, 23, 3319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76329 and 76337. The biggest common factor number is the GCF number.
So the greatest common factor 76329 and 76337 is 1.

Also check out the Least Common Multiple of 76329 and 76337