What is the Greatest Common Factor of 76257 and 76275?

Greatest common factor (GCF) of 76257 and 76275 is 9.

GCF(76257,76275) = 9

We will now calculate the prime factors of 76257 and 76275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76257 and 76275.

How to find the GCF of 76257 and 76275?

We will first find the prime factorization of 76257 and 76275. After we will calculate the factors of 76257 and 76275 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 76275

Prime factors of 76275 are 3, 5, 113. Prime factorization of 76275 in exponential form is:

76275 = 3³ × 5² × 113¹

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 76275

List of positive integer factors of 76275 that divides 76257 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 113, 135, 225, 339, 565, 675, 1017, 1695, 2825, 3051, 5085, 8475, 15255, 25425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76257 and 76275. The biggest common factor number is the GCF number.
So the greatest common factor 76257 and 76275 is 9.

Also check out the Least Common Multiple of 76257 and 76275