What is the Greatest Common Factor of 97275 and 97290?

Greatest common factor (GCF) of 97275 and 97290 is 15.

GCF(97275,97290) = 15

We will now calculate the prime factors of 97275 and 97290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97275 and 97290.

How to find the GCF of 97275 and 97290?

We will first find the prime factorization of 97275 and 97290. After we will calculate the factors of 97275 and 97290 and find the biggest common factor number .

Step-1: Prime Factorization of 97275

Prime factors of 97275 are 3, 5, 1297. Prime factorization of 97275 in exponential form is:

97275 = 3¹ × 5² × 1297¹

Step-2: 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-3: Factors of 97275

List of positive integer factors of 97275 that divides 97275 without a remainder.

1, 3, 5, 15, 25, 75, 1297, 3891, 6485, 19455, 32425

Step-4: Factors of 97290

List of positive integer factors of 97290 that divides 97275 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97275 and 97290. The biggest common factor number is the GCF number.
So the greatest common factor 97275 and 97290 is 15.

Also check out the Least Common Multiple of 97275 and 97290