What is the Greatest Common Factor of 76288 and 76305?

Greatest common factor (GCF) of 76288 and 76305 is 1.

GCF(76288,76305) = 1

We will now calculate the prime factors of 76288 and 76305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76288 and 76305.

How to find the GCF of 76288 and 76305?

We will first find the prime factorization of 76288 and 76305. After we will calculate the factors of 76288 and 76305 and find the biggest common factor number .

Step-1: Prime Factorization of 76288

Prime factors of 76288 are 2, 149. Prime factorization of 76288 in exponential form is:

76288 = 2⁹ × 149¹

Step-2: 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-3: Factors of 76288

List of positive integer factors of 76288 that divides 76288 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 512, 596, 1192, 2384, 4768, 9536, 19072, 38144

Step-4: Factors of 76305

List of positive integer factors of 76305 that divides 76288 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76288 and 76305. The biggest common factor number is the GCF number.
So the greatest common factor 76288 and 76305 is 1.

Also check out the Least Common Multiple of 76288 and 76305