What is the Greatest Common Factor of 97257 and 97275?

Greatest common factor (GCF) of 97257 and 97275 is 3.

GCF(97257,97275) = 3

We will now calculate the prime factors of 97257 and 97275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97257 and 97275.

How to find the GCF of 97257 and 97275?

We will first find the prime factorization of 97257 and 97275. After we will calculate the factors of 97257 and 97275 and find the biggest common factor number .

Step-1: Prime Factorization of 97257

Prime factors of 97257 are 3, 17, 1907. Prime factorization of 97257 in exponential form is:

97257 = 3¹ × 17¹ × 1907¹

Step-2: Prime Factorization of 97275

Prime factors of 97275 are 3, 5, 1297. Prime factorization of 97275 in exponential form is:

97275 = 3¹ × 5² × 1297¹

Step-3: Factors of 97257

List of positive integer factors of 97257 that divides 97257 without a remainder.

1, 3, 17, 51, 1907, 5721, 32419

Step-4: Factors of 97275

List of positive integer factors of 97275 that divides 97257 without a remainder.

1, 3, 5, 15, 25, 75, 1297, 3891, 6485, 19455, 32425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97257 and 97275. The biggest common factor number is the GCF number.
So the greatest common factor 97257 and 97275 is 3.

Also check out the Least Common Multiple of 97257 and 97275