What is the Greatest Common Factor of 76330 and 76345?

Greatest common factor (GCF) of 76330 and 76345 is 5.

GCF(76330,76345) = 5

We will now calculate the prime factors of 76330 and 76345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76330 and 76345.

How to find the GCF of 76330 and 76345?

We will first find the prime factorization of 76330 and 76345. After we will calculate the factors of 76330 and 76345 and find the biggest common factor number .

Step-1: Prime Factorization of 76330

Prime factors of 76330 are 2, 5, 17, 449. Prime factorization of 76330 in exponential form is:

76330 = 2¹ × 5¹ × 17¹ × 449¹

Step-2: Prime Factorization of 76345

Prime factors of 76345 are 5, 15269. Prime factorization of 76345 in exponential form is:

76345 = 5¹ × 15269¹

Step-3: Factors of 76330

List of positive integer factors of 76330 that divides 76330 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 449, 898, 2245, 4490, 7633, 15266, 38165

Step-4: Factors of 76345

List of positive integer factors of 76345 that divides 76330 without a remainder.

1, 5, 15269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76330 and 76345. The biggest common factor number is the GCF number.
So the greatest common factor 76330 and 76345 is 5.

Also check out the Least Common Multiple of 76330 and 76345