What is the Greatest Common Factor of 97290 and 97308?

Greatest common factor (GCF) of 97290 and 97308 is 18.

GCF(97290,97308) = 18

We will now calculate the prime factors of 97290 and 97308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97290 and 97308.

How to find the GCF of 97290 and 97308?

We will first find the prime factorization of 97290 and 97308. After we will calculate the factors of 97290 and 97308 and find the biggest common factor number .

Step-1: Prime Factorization of 97290

Prime factors of 97290 are 2, 3, 5, 23, 47. Prime factorization of 97290 in exponential form is:

97290 = 2¹ × 3² × 5¹ × 23¹ × 47¹

Step-2: 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-3: Factors of 97290

List of positive integer factors of 97290 that divides 97290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 47, 69, 90, 94, 115, 138, 141, 207, 230, 235, 282, 345, 414, 423, 470, 690, 705, 846, 1035, 1081, 1410, 2070, 2115, 2162, 3243, 4230, 5405, 6486, 9729, 10810, 16215, 19458, 32430, 48645

Step-4: Factors of 97308

List of positive integer factors of 97308 that divides 97290 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97290 and 97308. The biggest common factor number is the GCF number.
So the greatest common factor 97290 and 97308 is 18.

Also check out the Least Common Multiple of 97290 and 97308