What is the Greatest Common Factor of 76335 and 76341?

Greatest common factor (GCF) of 76335 and 76341 is 3.

GCF(76335,76341) = 3

We will now calculate the prime factors of 76335 and 76341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76335 and 76341.

How to find the GCF of 76335 and 76341?

We will first find the prime factorization of 76335 and 76341. After we will calculate the factors of 76335 and 76341 and find the biggest common factor number .

Step-1: Prime Factorization of 76335

Prime factors of 76335 are 3, 5, 7, 727. Prime factorization of 76335 in exponential form is:

76335 = 3¹ × 5¹ × 7¹ × 727¹

Step-2: Prime Factorization of 76341

Prime factors of 76341 are 3, 25447. Prime factorization of 76341 in exponential form is:

76341 = 3¹ × 25447¹

Step-3: Factors of 76335

List of positive integer factors of 76335 that divides 76335 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 727, 2181, 3635, 5089, 10905, 15267, 25445

Step-4: Factors of 76341

List of positive integer factors of 76341 that divides 76335 without a remainder.

1, 3, 25447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76335 and 76341. The biggest common factor number is the GCF number.
So the greatest common factor 76335 and 76341 is 3.

Also check out the Least Common Multiple of 76335 and 76341