What is the Greatest Common Factor of 76305 and 76318?

Greatest common factor (GCF) of 76305 and 76318 is 1.

GCF(76305,76318) = 1

We will now calculate the prime factors of 76305 and 76318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76305 and 76318.

How to find the GCF of 76305 and 76318?

We will first find the prime factorization of 76305 and 76318. After we will calculate the factors of 76305 and 76318 and find the biggest common factor number .

Step-1: Prime Factorization of 76305

Prime factors of 76305 are 3, 5, 5087. Prime factorization of 76305 in exponential form is:

76305 = 3¹ × 5¹ × 5087¹

Step-2: Prime Factorization of 76318

Prime factors of 76318 are 2, 11, 3469. Prime factorization of 76318 in exponential form is:

76318 = 2¹ × 11¹ × 3469¹

Step-3: Factors of 76305

List of positive integer factors of 76305 that divides 76305 without a remainder.

1, 3, 5, 15, 5087, 15261, 25435

Step-4: Factors of 76318

List of positive integer factors of 76318 that divides 76305 without a remainder.

1, 2, 11, 22, 3469, 6938, 38159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76305 and 76318. The biggest common factor number is the GCF number.
So the greatest common factor 76305 and 76318 is 1.

Also check out the Least Common Multiple of 76305 and 76318