What is the Greatest Common Factor of 76257 and 76266?

Greatest common factor (GCF) of 76257 and 76266 is 9.

GCF(76257,76266) = 9

We will now calculate the prime factors of 76257 and 76266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76257 and 76266.

How to find the GCF of 76257 and 76266?

We will first find the prime factorization of 76257 and 76266. After we will calculate the factors of 76257 and 76266 and find the biggest common factor number .

Step-1: Prime Factorization of 76257

Prime factors of 76257 are 3, 37, 229. Prime factorization of 76257 in exponential form is:

76257 = 3² × 37¹ × 229¹

Step-2: Prime Factorization of 76266

Prime factors of 76266 are 2, 3, 19, 223. Prime factorization of 76266 in exponential form is:

76266 = 2¹ × 3² × 19¹ × 223¹

Step-3: Factors of 76257

List of positive integer factors of 76257 that divides 76257 without a remainder.

1, 3, 9, 37, 111, 229, 333, 687, 2061, 8473, 25419

Step-4: Factors of 76266

List of positive integer factors of 76266 that divides 76257 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 223, 342, 446, 669, 1338, 2007, 4014, 4237, 8474, 12711, 25422, 38133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76257 and 76266. The biggest common factor number is the GCF number.
So the greatest common factor 76257 and 76266 is 9.

Also check out the Least Common Multiple of 76257 and 76266