What is the Greatest Common Factor of 97230 and 97245?

Greatest common factor (GCF) of 97230 and 97245 is 15.

GCF(97230,97245) = 15

We will now calculate the prime factors of 97230 and 97245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97230 and 97245.

How to find the GCF of 97230 and 97245?

We will first find the prime factorization of 97230 and 97245. After we will calculate the factors of 97230 and 97245 and find the biggest common factor number .

Step-1: Prime Factorization of 97230

Prime factors of 97230 are 2, 3, 5, 7, 463. Prime factorization of 97230 in exponential form is:

97230 = 2¹ × 3¹ × 5¹ × 7¹ × 463¹

Step-2: Prime Factorization of 97245

Prime factors of 97245 are 3, 5, 2161. Prime factorization of 97245 in exponential form is:

97245 = 3² × 5¹ × 2161¹

Step-3: Factors of 97230

List of positive integer factors of 97230 that divides 97230 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 463, 926, 1389, 2315, 2778, 3241, 4630, 6482, 6945, 9723, 13890, 16205, 19446, 32410, 48615

Step-4: Factors of 97245

List of positive integer factors of 97245 that divides 97230 without a remainder.

1, 3, 5, 9, 15, 45, 2161, 6483, 10805, 19449, 32415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97230 and 97245. The biggest common factor number is the GCF number.
So the greatest common factor 97230 and 97245 is 15.

Also check out the Least Common Multiple of 97230 and 97245