What is the Greatest Common Factor of 97257 and 97263?

Greatest common factor (GCF) of 97257 and 97263 is 3.

GCF(97257,97263) = 3

We will now calculate the prime factors of 97257 and 97263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97257 and 97263.

How to find the GCF of 97257 and 97263?

We will first find the prime factorization of 97257 and 97263. After we will calculate the factors of 97257 and 97263 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 97263

Prime factors of 97263 are 3, 101, 107. Prime factorization of 97263 in exponential form is:

97263 = 3² × 101¹ × 107¹

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 97263

List of positive integer factors of 97263 that divides 97257 without a remainder.

1, 3, 9, 101, 107, 303, 321, 909, 963, 10807, 32421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97257 and 97263. The biggest common factor number is the GCF number.
So the greatest common factor 97257 and 97263 is 3.

Also check out the Least Common Multiple of 97257 and 97263