What is the Greatest Common Factor of 97330 and 97340?

Greatest common factor (GCF) of 97330 and 97340 is 10.

GCF(97330,97340) = 10

We will now calculate the prime factors of 97330 and 97340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97330 and 97340.

How to find the GCF of 97330 and 97340?

We will first find the prime factorization of 97330 and 97340. After we will calculate the factors of 97330 and 97340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97340

Prime factors of 97340 are 2, 5, 31, 157. Prime factorization of 97340 in exponential form is:

97340 = 2² × 5¹ × 31¹ × 157¹

Step-3: Factors of 97330

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

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

Step-4: Factors of 97340

List of positive integer factors of 97340 that divides 97330 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 157, 310, 314, 620, 628, 785, 1570, 3140, 4867, 9734, 19468, 24335, 48670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97330 and 97340. The biggest common factor number is the GCF number.
So the greatest common factor 97330 and 97340 is 10.

Also check out the Least Common Multiple of 97330 and 97340