What is the Greatest Common Factor of 97308 and 97317?

Greatest common factor (GCF) of 97308 and 97317 is 9.

GCF(97308,97317) = 9

We will now calculate the prime factors of 97308 and 97317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97308 and 97317.

How to find the GCF of 97308 and 97317?

We will first find the prime factorization of 97308 and 97317. After we will calculate the factors of 97308 and 97317 and find the biggest common factor number .

Step-1: Prime Factorization of 97308

Prime factors of 97308 are 2, 3, 17, 53. Prime factorization of 97308 in exponential form is:

97308 = 2² × 3³ × 17¹ × 53¹

Step-2: Prime Factorization of 97317

Prime factors of 97317 are 3, 11, 983. Prime factorization of 97317 in exponential form is:

97317 = 3² × 11¹ × 983¹

Step-3: Factors of 97308

List of positive integer factors of 97308 that divides 97308 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 53, 54, 68, 102, 106, 108, 153, 159, 204, 212, 306, 318, 459, 477, 612, 636, 901, 918, 954, 1431, 1802, 1836, 1908, 2703, 2862, 3604, 5406, 5724, 8109, 10812, 16218, 24327, 32436, 48654

Step-4: Factors of 97317

List of positive integer factors of 97317 that divides 97308 without a remainder.

1, 3, 9, 11, 33, 99, 983, 2949, 8847, 10813, 32439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97308 and 97317. The biggest common factor number is the GCF number.
So the greatest common factor 97308 and 97317 is 9.

Also check out the Least Common Multiple of 97308 and 97317