What is the Greatest Common Factor of 97290 and 97304?

Greatest common factor (GCF) of 97290 and 97304 is 2.

GCF(97290,97304) = 2

We will now calculate the prime factors of 97290 and 97304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97290 and 97304.

How to find the GCF of 97290 and 97304?

We will first find the prime factorization of 97290 and 97304. After we will calculate the factors of 97290 and 97304 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 97304

Prime factors of 97304 are 2, 12163. Prime factorization of 97304 in exponential form is:

97304 = 2³ × 12163¹

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 97304

List of positive integer factors of 97304 that divides 97290 without a remainder.

1, 2, 4, 8, 12163, 24326, 48652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97290 and 97304. The biggest common factor number is the GCF number.
So the greatest common factor 97290 and 97304 is 2.

Also check out the Least Common Multiple of 97290 and 97304