What is the Greatest Common Factor of 97320 and 97330?

Greatest common factor (GCF) of 97320 and 97330 is 10.

GCF(97320,97330) = 10

We will now calculate the prime factors of 97320 and 97330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97320 and 97330.

How to find the GCF of 97320 and 97330?

We will first find the prime factorization of 97320 and 97330. After we will calculate the factors of 97320 and 97330 and find the biggest common factor number .

Step-1: Prime Factorization of 97320

Prime factors of 97320 are 2, 3, 5, 811. Prime factorization of 97320 in exponential form is:

97320 = 2³ × 3¹ × 5¹ × 811¹

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 97320

List of positive integer factors of 97320 that divides 97320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 811, 1622, 2433, 3244, 4055, 4866, 6488, 8110, 9732, 12165, 16220, 19464, 24330, 32440, 48660

Step-4: Factors of 97330

List of positive integer factors of 97330 that divides 97320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97320 and 97330. The biggest common factor number is the GCF number.
So the greatest common factor 97320 and 97330 is 10.

Also check out the Least Common Multiple of 97320 and 97330