What is the Greatest Common Factor of 97257 and 97274?

Greatest common factor (GCF) of 97257 and 97274 is 17.

GCF(97257,97274) = 17

We will now calculate the prime factors of 97257 and 97274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97257 and 97274.

How to find the GCF of 97257 and 97274?

We will first find the prime factorization of 97257 and 97274. After we will calculate the factors of 97257 and 97274 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 97274

Prime factors of 97274 are 2, 17, 2861. Prime factorization of 97274 in exponential form is:

97274 = 2¹ × 17¹ × 2861¹

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 97274

List of positive integer factors of 97274 that divides 97257 without a remainder.

1, 2, 17, 34, 2861, 5722, 48637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97257 and 97274. The biggest common factor number is the GCF number.
So the greatest common factor 97257 and 97274 is 17.

Also check out the Least Common Multiple of 97257 and 97274