What is the Greatest Common Factor of 97310 and 97330?

Greatest common factor (GCF) of 97310 and 97330 is 10.

GCF(97310,97330) = 10

We will now calculate the prime factors of 97310 and 97330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97310 and 97330.

How to find the GCF of 97310 and 97330?

We will first find the prime factorization of 97310 and 97330. After we will calculate the factors of 97310 and 97330 and find the biggest common factor number .

Step-1: Prime Factorization of 97310

Prime factors of 97310 are 2, 5, 37, 263. Prime factorization of 97310 in exponential form is:

97310 = 2¹ × 5¹ × 37¹ × 263¹

Step-2: Prime Factorization of 97330

Prime factors of 97330 are 2, 5, 9733. Prime factorization of 97330 in exponential form is:

97330 = 2¹ × 5¹ × 9733¹

Step-3: Factors of 97310

List of positive integer factors of 97310 that divides 97310 without a remainder.

1, 2, 5, 10, 37, 74, 185, 263, 370, 526, 1315, 2630, 9731, 19462, 48655

Step-4: Factors of 97330

List of positive integer factors of 97330 that divides 97310 without a remainder.

1, 2, 5, 10, 9733, 19466, 48665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97310 and 97330. The biggest common factor number is the GCF number.
So the greatest common factor 97310 and 97330 is 10.

Also check out the Least Common Multiple of 97310 and 97330