What is the Greatest Common Factor of 97320 and 97340?

Greatest common factor (GCF) of 97320 and 97340 is 20.

GCF(97320,97340) = 20

We will now calculate the prime factors of 97320 and 97340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97320 and 97340.

How to find the GCF of 97320 and 97340?

We will first find the prime factorization of 97320 and 97340. After we will calculate the factors of 97320 and 97340 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 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 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 97340

List of positive integer factors of 97340 that divides 97320 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 97320 and 97340. The biggest common factor number is the GCF number.
So the greatest common factor 97320 and 97340 is 20.

Also check out the Least Common Multiple of 97320 and 97340