What is the Greatest Common Factor of 97605 and 97614?

Greatest common factor (GCF) of 97605 and 97614 is 9.

GCF(97605,97614) = 9

We will now calculate the prime factors of 97605 and 97614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97605 and 97614.

How to find the GCF of 97605 and 97614?

We will first find the prime factorization of 97605 and 97614. After we will calculate the factors of 97605 and 97614 and find the biggest common factor number .

Step-1: Prime Factorization of 97605

Prime factors of 97605 are 3, 5, 241. Prime factorization of 97605 in exponential form is:

97605 = 3⁴ × 5¹ × 241¹

Step-2: Prime Factorization of 97614

Prime factors of 97614 are 2, 3, 11, 17, 29. Prime factorization of 97614 in exponential form is:

97614 = 2¹ × 3² × 11¹ × 17¹ × 29¹

Step-3: Factors of 97605

List of positive integer factors of 97605 that divides 97605 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 241, 405, 723, 1205, 2169, 3615, 6507, 10845, 19521, 32535

Step-4: Factors of 97614

List of positive integer factors of 97614 that divides 97605 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 29, 33, 34, 51, 58, 66, 87, 99, 102, 153, 174, 187, 198, 261, 306, 319, 374, 493, 522, 561, 638, 957, 986, 1122, 1479, 1683, 1914, 2871, 2958, 3366, 4437, 5423, 5742, 8874, 10846, 16269, 32538, 48807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97605 and 97614. The biggest common factor number is the GCF number.
So the greatest common factor 97605 and 97614 is 9.

Also check out the Least Common Multiple of 97605 and 97614