What is the Greatest Common Factor of 76568 and 76585?

Greatest common factor (GCF) of 76568 and 76585 is 17.

GCF(76568,76585) = 17

We will now calculate the prime factors of 76568 and 76585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76568 and 76585.

How to find the GCF of 76568 and 76585?

We will first find the prime factorization of 76568 and 76585. After we will calculate the factors of 76568 and 76585 and find the biggest common factor number .

Step-1: Prime Factorization of 76568

Prime factors of 76568 are 2, 17, 563. Prime factorization of 76568 in exponential form is:

76568 = 2³ × 17¹ × 563¹

Step-2: Prime Factorization of 76585

Prime factors of 76585 are 5, 17, 53. Prime factorization of 76585 in exponential form is:

76585 = 5¹ × 17² × 53¹

Step-3: Factors of 76568

List of positive integer factors of 76568 that divides 76568 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 563, 1126, 2252, 4504, 9571, 19142, 38284

Step-4: Factors of 76585

List of positive integer factors of 76585 that divides 76568 without a remainder.

1, 5, 17, 53, 85, 265, 289, 901, 1445, 4505, 15317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76568 and 76585. The biggest common factor number is the GCF number.
So the greatest common factor 76568 and 76585 is 17.

Also check out the Least Common Multiple of 76568 and 76585