What is the Greatest Common Factor of 76330 and 76347?

Greatest common factor (GCF) of 76330 and 76347 is 17.

GCF(76330,76347) = 17

We will now calculate the prime factors of 76330 and 76347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76330 and 76347.

How to find the GCF of 76330 and 76347?

We will first find the prime factorization of 76330 and 76347. After we will calculate the factors of 76330 and 76347 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 76347

Prime factors of 76347 are 3, 17, 499. Prime factorization of 76347 in exponential form is:

76347 = 3² × 17¹ × 499¹

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 76347

List of positive integer factors of 76347 that divides 76330 without a remainder.

1, 3, 9, 17, 51, 153, 499, 1497, 4491, 8483, 25449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76330 and 76347. The biggest common factor number is the GCF number.
So the greatest common factor 76330 and 76347 is 17.

Also check out the Least Common Multiple of 76330 and 76347